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Finding the Fourth Proportional to 32,472.27, 48,704.31 and 10,287.90

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Solution

The fourth proportional to 32,472.27, 48,704.31 and 10,287.90 is: 15,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472.27 : 48,704.31 = 10,287.90 : x
  2. Step 2: Convert to fraction form
    32,472.27/48,704.31 = 10,287.90/x
  3. Step 3: Cross multiply
    32,472.27x = 48,704.31 × 10,287.90
  4. Step 4: Simplify right side
    32,472.27x = 501,065,070.85
  5. Step 5: Solve for x
    x = 501,065,070.85/32,472.27
  6. Step 6: Final answer
    x = 15,430.55

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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.