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Finding the Fourth Proportional to 49,685.28, 68,542.65 and 29,530.86

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Solution

The fourth proportional to 49,685.28, 68,542.65 and 29,530.86 is: 40,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,685.28 : 68,542.65 = 29,530.86 : x
  2. Step 2: Convert to fraction form
    49,685.28/68,542.65 = 29,530.86/x
  3. Step 3: Cross multiply
    49,685.28x = 68,542.65 × 29,530.86
  4. Step 4: Simplify right side
    49,685.28x = 2,024,123,401.18
  5. Step 5: Solve for x
    x = 2,024,123,401.18/49,685.28
  6. Step 6: Final answer
    x = 40,738.89

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