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Finding the Fourth Proportional to 31,614.40, 47,359.20 and 16,043.20

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Solution

The fourth proportional to 31,614.40, 47,359.20 and 16,043.20 is: 24,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.40 : 47,359.20 = 16,043.20 : x
  2. Step 2: Convert to fraction form
    31,614.40/47,359.20 = 16,043.20/x
  3. Step 3: Cross multiply
    31,614.40x = 47,359.20 × 16,043.20
  4. Step 4: Simplify right side
    31,614.40x = 759,793,117.44
  5. Step 5: Solve for x
    x = 759,793,117.44/31,614.40
  6. Step 6: Final answer
    x = 24,033.13

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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.