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Finding the Fourth Proportional to 31,709.48, 47,593.74 and 16,138.76

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Solution

The fourth proportional to 31,709.48, 47,593.74 and 16,138.76 is: 24,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.48 : 47,593.74 = 16,138.76 : x
  2. Step 2: Convert to fraction form
    31,709.48/47,593.74 = 16,138.76/x
  3. Step 3: Cross multiply
    31,709.48x = 47,593.74 × 16,138.76
  4. Step 4: Simplify right side
    31,709.48x = 768,103,947.36
  5. Step 5: Solve for x
    x = 768,103,947.36/31,709.48
  6. Step 6: Final answer
    x = 24,223.16

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