Let the total number of registered doctors = x
Given that in a recent year, 21.2% of all registered doctors were female.
so that means total number of female doctors which are registered = 21.2% of x = 0.212x
Given that there were 56,900 female registered doctors that year. so we can set both equal and get equation:
[tex]0.212x = 56900[/tex]
[tex]x = \frac{56900}{0.212}[/tex]
x=268396.226415
Hence final answer is that there are total approx 268396 registered doctors.