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Finding the Fourth Proportional to 31,807.52, 47,711.28 and 13,086.80

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Solution

The fourth proportional to 31,807.52, 47,711.28 and 13,086.80 is: 19,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.52 : 47,711.28 = 13,086.80 : x
  2. Step 2: Convert to fraction form
    31,807.52/47,711.28 = 13,086.80/x
  3. Step 3: Cross multiply
    31,807.52x = 47,711.28 × 13,086.80
  4. Step 4: Simplify right side
    31,807.52x = 624,387,979.10
  5. Step 5: Solve for x
    x = 624,387,979.10/31,807.52
  6. Step 6: Final answer
    x = 19,630.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.