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Finding the Fourth Proportional to 34,396.38, 47,467.17 and 22,452.66

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Solution

The fourth proportional to 34,396.38, 47,467.17 and 22,452.66 is: 30,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,396.38 : 47,467.17 = 22,452.66 : x
  2. Step 2: Convert to fraction form
    34,396.38/47,467.17 = 22,452.66/x
  3. Step 3: Cross multiply
    34,396.38x = 47,467.17 × 22,452.66
  4. Step 4: Simplify right side
    34,396.38x = 1,065,764,229.17
  5. Step 5: Solve for x
    x = 1,065,764,229.17/34,396.38
  6. Step 6: Final answer
    x = 30,984.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.