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Finding the Fourth Proportional to 78,966.43, 108,971.12 and 49,910.38

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Solution

The fourth proportional to 78,966.43, 108,971.12 and 49,910.38 is: 68,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,966.43 : 108,971.12 = 49,910.38 : x
  2. Step 2: Convert to fraction form
    78,966.43/108,971.12 = 49,910.38/x
  3. Step 3: Cross multiply
    78,966.43x = 108,971.12 × 49,910.38
  4. Step 4: Simplify right side
    78,966.43x = 5,438,789,860.57
  5. Step 5: Solve for x
    x = 5,438,789,860.57/78,966.43
  6. Step 6: Final answer
    x = 68,874.71

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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.