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Finding the Fourth Proportional to 32,023.87, 48,020.42 and 15,142.82

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Solution

The fourth proportional to 32,023.87, 48,020.42 and 15,142.82 is: 22,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.87 : 48,020.42 = 15,142.82 : x
  2. Step 2: Convert to fraction form
    32,023.87/48,020.42 = 15,142.82/x
  3. Step 3: Cross multiply
    32,023.87x = 48,020.42 × 15,142.82
  4. Step 4: Simplify right side
    32,023.87x = 727,164,374.14
  5. Step 5: Solve for x
    x = 727,164,374.14/32,023.87
  6. Step 6: Final answer
    x = 22,706.95

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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.