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Finding the Fourth Proportional to 83,841.38, 115,660.45 and 49,825.79

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Solution

The fourth proportional to 83,841.38, 115,660.45 and 49,825.79 is: 68,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841.38 : 115,660.45 = 49,825.79 : x
  2. Step 2: Convert to fraction form
    83,841.38/115,660.45 = 49,825.79/x
  3. Step 3: Cross multiply
    83,841.38x = 115,660.45 × 49,825.79
  4. Step 4: Simplify right side
    83,841.38x = 5,762,873,293.01
  5. Step 5: Solve for x
    x = 5,762,873,293.01/83,841.38
  6. Step 6: Final answer
    x = 68,735.43

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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.