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Finding the Fourth Proportional to 50,474.71, 69,654.22 and 29,255.95

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Solution

The fourth proportional to 50,474.71, 69,654.22 and 29,255.95 is: 40,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,474.71 : 69,654.22 = 29,255.95 : x
  2. Step 2: Convert to fraction form
    50,474.71/69,654.22 = 29,255.95/x
  3. Step 3: Cross multiply
    50,474.71x = 69,654.22 × 29,255.95
  4. Step 4: Simplify right side
    50,474.71x = 2,037,800,377.61
  5. Step 5: Solve for x
    x = 2,037,800,377.61/50,474.71
  6. Step 6: Final answer
    x = 40,372.70

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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.