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Finding the Fourth Proportional to 32,414.79, 48,622.19 and 10,229.89

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Solution

The fourth proportional to 32,414.79, 48,622.19 and 10,229.89 is: 15,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.79 : 48,622.19 = 10,229.89 : x
  2. Step 2: Convert to fraction form
    32,414.79/48,622.19 = 10,229.89/x
  3. Step 3: Cross multiply
    32,414.79x = 48,622.19 × 10,229.89
  4. Step 4: Simplify right side
    32,414.79x = 497,399,655.26
  5. Step 5: Solve for x
    x = 497,399,655.26/32,414.79
  6. Step 6: Final answer
    x = 15,344.84

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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.