In a recent year, 16.8% of all registered doctors were female. If there were
56,400 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.
We can start by setting up a proportion:
16.8/100 = 56,400/x
To solve for x, we can cross-multiply:
16.8x = 100(56,400)
Simplifying on the right side:
16.8x = 5,640,000
Dividing both sides by 16.8:
x = 335,714.3
Rounding to the nearest whole number:
x ≈ 335,714
Therefore, the total number of registered doctors in that year was approximately 335,714.
To find the total number of registered doctors, you can use the following formula:
Total Number of Registered Doctors = (Number of Female Registered Doctors) / (Percentage of Female Registered Doctors)
Let's plug in the given values:
Number of Female Registered Doctors = 56,400
Percentage of Female Registered Doctors = 16.8%
Converting the 16.8% to decimal form, we have:
Percentage of Female Registered Doctors = 16.8% / 100% = 0.168
Using the formula, we have:
Total Number of Registered Doctors = 56,400 / 0.168
Calculating this value gives:
Total Number of Registered Doctors = 335,714.2857
Rounded to the nearest whole number, the total number of registered doctors is:
Total Number of Registered Doctors ≈ 335,714