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Finding the Fourth Proportional to 83,764.92, 115,589.52 and 49,771.92

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Solution

The fourth proportional to 83,764.92, 115,589.52 and 49,771.92 is: 68,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.92 : 115,589.52 = 49,771.92 : x
  2. Step 2: Convert to fraction form
    83,764.92/115,589.52 = 49,771.92/x
  3. Step 3: Cross multiply
    83,764.92x = 115,589.52 × 49,771.92
  4. Step 4: Simplify right side
    83,764.92x = 5,753,112,342.28
  5. Step 5: Solve for x
    x = 5,753,112,342.28/83,764.92
  6. Step 6: Final answer
    x = 68,681.64

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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.