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Finding the Fourth Proportional to 33,681.92, 50,396.16 and 31,904

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Solution

The fourth proportional to 33,681.92, 50,396.16 and 31,904 is: 47,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681.92 : 50,396.16 = 31,904 : x
  2. Step 2: Convert to fraction form
    33,681.92/50,396.16 = 31,904/x
  3. Step 3: Cross multiply
    33,681.92x = 50,396.16 × 31,904
  4. Step 4: Simplify right side
    33,681.92x = 1,607,839,088.64
  5. Step 5: Solve for x
    x = 1,607,839,088.64/33,681.92
  6. Step 6: Final answer
    x = 47,735.97

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