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Finding the Fourth Proportional to 71,694.90, 107,571.24 and 32,270.58

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Solution

The fourth proportional to 71,694.90, 107,571.24 and 32,270.58 is: 48,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694.90 : 107,571.24 = 32,270.58 : x
  2. Step 2: Convert to fraction form
    71,694.90/107,571.24 = 32,270.58/x
  3. Step 3: Cross multiply
    71,694.90x = 107,571.24 × 32,270.58
  4. Step 4: Simplify right side
    71,694.90x = 3,471,386,306.12
  5. Step 5: Solve for x
    x = 3,471,386,306.12/71,694.90
  6. Step 6: Final answer
    x = 48,418.87

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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.