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Finding the Fourth Proportional to 93,791.52, 140,565.24 and 71,523

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Solution

The fourth proportional to 93,791.52, 140,565.24 and 71,523 is: 107,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,791.52 : 140,565.24 = 71,523 : x
  2. Step 2: Convert to fraction form
    93,791.52/140,565.24 = 71,523/x
  3. Step 3: Cross multiply
    93,791.52x = 140,565.24 × 71,523
  4. Step 4: Simplify right side
    93,791.52x = 10,053,647,660.52
  5. Step 5: Solve for x
    x = 10,053,647,660.52/93,791.52
  6. Step 6: Final answer
    x = 107,191.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.