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Finding the Fourth Proportional to 75,838.97, 113,709.85 and 31,496.33

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Solution

The fourth proportional to 75,838.97, 113,709.85 and 31,496.33 is: 47,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,838.97 : 113,709.85 = 31,496.33 : x
  2. Step 2: Convert to fraction form
    75,838.97/113,709.85 = 31,496.33/x
  3. Step 3: Cross multiply
    75,838.97x = 113,709.85 × 31,496.33
  4. Step 4: Simplify right side
    75,838.97x = 3,581,442,312.56
  5. Step 5: Solve for x
    x = 3,581,442,312.56/75,838.97
  6. Step 6: Final answer
    x = 47,224.30

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