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Finding the Fourth Proportional to 31,778.31, 47,667.79 and 9,591.87

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Solution

The fourth proportional to 31,778.31, 47,667.79 and 9,591.87 is: 14,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.31 : 47,667.79 = 9,591.87 : x
  2. Step 2: Convert to fraction form
    31,778.31/47,667.79 = 9,591.87/x
  3. Step 3: Cross multiply
    31,778.31x = 47,667.79 × 9,591.87
  4. Step 4: Simplify right side
    31,778.31x = 457,223,167.48
  5. Step 5: Solve for x
    x = 457,223,167.48/31,778.31
  6. Step 6: Final answer
    x = 14,387.90

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