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Finding the Fourth Proportional to 32,400.47, 48,599.33 and 10,229.76

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Solution

The fourth proportional to 32,400.47, 48,599.33 and 10,229.76 is: 15,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.47 : 48,599.33 = 10,229.76 : x
  2. Step 2: Convert to fraction form
    32,400.47/48,599.33 = 10,229.76/x
  3. Step 3: Cross multiply
    32,400.47x = 48,599.33 × 10,229.76
  4. Step 4: Simplify right side
    32,400.47x = 497,159,430.91
  5. Step 5: Solve for x
    x = 497,159,430.91/32,400.47
  6. Step 6: Final answer
    x = 15,344.20

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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.