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Finding the Fourth Proportional to 49,900.52, 68,860.98 and 29,747

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Solution

The fourth proportional to 49,900.52, 68,860.98 and 29,747 is: 41,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900.52 : 68,860.98 = 29,747 : x
  2. Step 2: Convert to fraction form
    49,900.52/68,860.98 = 29,747/x
  3. Step 3: Cross multiply
    49,900.52x = 68,860.98 × 29,747
  4. Step 4: Simplify right side
    49,900.52x = 2,048,407,572.06
  5. Step 5: Solve for x
    x = 2,048,407,572.06/49,900.52
  6. Step 6: Final answer
    x = 41,049.82

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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.