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Finding the Fourth Proportional to 32,227.98, 48,344.27 and 13,489.15

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Solution

The fourth proportional to 32,227.98, 48,344.27 and 13,489.15 is: 20,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.98 : 48,344.27 = 13,489.15 : x
  2. Step 2: Convert to fraction form
    32,227.98/48,344.27 = 13,489.15/x
  3. Step 3: Cross multiply
    32,227.98x = 48,344.27 × 13,489.15
  4. Step 4: Simplify right side
    32,227.98x = 652,123,109.67
  5. Step 5: Solve for x
    x = 652,123,109.67/32,227.98
  6. Step 6: Final answer
    x = 20,234.69

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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.