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Finding the Fourth Proportional to 49,705.88, 68,594.11 and 27,349.88

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Solution

The fourth proportional to 49,705.88, 68,594.11 and 27,349.88 is: 37,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,705.88 : 68,594.11 = 27,349.88 : x
  2. Step 2: Convert to fraction form
    49,705.88/68,594.11 = 27,349.88/x
  3. Step 3: Cross multiply
    49,705.88x = 68,594.11 × 27,349.88
  4. Step 4: Simplify right side
    49,705.88x = 1,876,040,265.86
  5. Step 5: Solve for x
    x = 1,876,040,265.86/49,705.88
  6. Step 6: Final answer
    x = 37,742.83

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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.