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Finding the Fourth Proportional to 41,331, 57,037.16 and 22,468.20

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Solution

The fourth proportional to 41,331, 57,037.16 and 22,468.20 is: 31,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,331 : 57,037.16 = 22,468.20 : x
  2. Step 2: Convert to fraction form
    41,331/57,037.16 = 22,468.20/x
  3. Step 3: Cross multiply
    41,331x = 57,037.16 × 22,468.20
  4. Step 4: Simplify right side
    41,331x = 1,281,522,318.31
  5. Step 5: Solve for x
    x = 1,281,522,318.31/41,331
  6. Step 6: Final answer
    x = 31,006.32

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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.