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Finding the Fourth Proportional to 32,276.48, 48,414.24 and 8,902.40

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Solution

The fourth proportional to 32,276.48, 48,414.24 and 8,902.40 is: 13,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,276.48 : 48,414.24 = 8,902.40 : x
  2. Step 2: Convert to fraction form
    32,276.48/48,414.24 = 8,902.40/x
  3. Step 3: Cross multiply
    32,276.48x = 48,414.24 × 8,902.40
  4. Step 4: Simplify right side
    32,276.48x = 431,002,930.18
  5. Step 5: Solve for x
    x = 431,002,930.18/32,276.48
  6. Step 6: Final answer
    x = 13,353.47

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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.