The school held a mathematics competition, and the number of winners accounted for (3/5) of the number of participants. (4/7) of the winners were boys, and there were 32 boys who won the prize. How many students won the prize this time?
学校举行数学竞赛，获奖人数占参赛人数的(3/5)，获奖同学中有(4/7)是男生，男生获奖的有32人，此次获奖的同学有多少人？
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>

<gadget id="calculator">32 / (4/7)</gadget>
<output>56</output>

<result>56</result>