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Finding the Fourth Proportional to 52,150.42, 71,963.13 and 29,488.30

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Solution

The fourth proportional to 52,150.42, 71,963.13 and 29,488.30 is: 40,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,150.42 : 71,963.13 = 29,488.30 : x
  2. Step 2: Convert to fraction form
    52,150.42/71,963.13 = 29,488.30/x
  3. Step 3: Cross multiply
    52,150.42x = 71,963.13 × 29,488.30
  4. Step 4: Simplify right side
    52,150.42x = 2,122,070,366.38
  5. Step 5: Solve for x
    x = 2,122,070,366.38/52,150.42
  6. Step 6: Final answer
    x = 40,691.34

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1.5x scale

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.