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Finding the Fourth Proportional to 31,472.72, 47,216.12 and 9,285.20

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Solution

The fourth proportional to 31,472.72, 47,216.12 and 9,285.20 is: 13,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.72 : 47,216.12 = 9,285.20 : x
  2. Step 2: Convert to fraction form
    31,472.72/47,216.12 = 9,285.20/x
  3. Step 3: Cross multiply
    31,472.72x = 47,216.12 × 9,285.20
  4. Step 4: Simplify right side
    31,472.72x = 438,411,117.42
  5. Step 5: Solve for x
    x = 438,411,117.42/31,472.72
  6. Step 6: Final answer
    x = 13,929.88

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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.