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Finding the Fourth Proportional to 32,143.68, 48,149.31 and 15,454.44

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Solution

The fourth proportional to 32,143.68, 48,149.31 and 15,454.44 is: 23,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.68 : 48,149.31 = 15,454.44 : x
  2. Step 2: Convert to fraction form
    32,143.68/48,149.31 = 15,454.44/x
  3. Step 3: Cross multiply
    32,143.68x = 48,149.31 × 15,454.44
  4. Step 4: Simplify right side
    32,143.68x = 744,120,622.44
  5. Step 5: Solve for x
    x = 744,120,622.44/32,143.68
  6. Step 6: Final answer
    x = 23,149.83

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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.