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Finding the Fourth Proportional to 31,854.04, 47,780.20 and 15,225.80

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Solution

The fourth proportional to 31,854.04, 47,780.20 and 15,225.80 is: 22,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.04 : 47,780.20 = 15,225.80 : x
  2. Step 2: Convert to fraction form
    31,854.04/47,780.20 = 15,225.80/x
  3. Step 3: Cross multiply
    31,854.04x = 47,780.20 × 15,225.80
  4. Step 4: Simplify right side
    31,854.04x = 727,491,769.16
  5. Step 5: Solve for x
    x = 727,491,769.16/31,854.04
  6. Step 6: Final answer
    x = 22,838.29

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