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Finding the Fourth Proportional to 49,447.54, 68,237.66 and 29,314.38

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Solution

The fourth proportional to 49,447.54, 68,237.66 and 29,314.38 is: 40,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,447.54 : 68,237.66 = 29,314.38 : x
  2. Step 2: Convert to fraction form
    49,447.54/68,237.66 = 29,314.38/x
  3. Step 3: Cross multiply
    49,447.54x = 68,237.66 × 29,314.38
  4. Step 4: Simplify right side
    49,447.54x = 2,000,344,695.55
  5. Step 5: Solve for x
    x = 2,000,344,695.55/49,447.54
  6. Step 6: Final answer
    x = 40,453.88

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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.