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Finding the Fourth Proportional to 83,811.38, 115,707.35 and 66,760.97

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Solution

The fourth proportional to 83,811.38, 115,707.35 and 66,760.97 is: 92,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,811.38 : 115,707.35 = 66,760.97 : x
  2. Step 2: Convert to fraction form
    83,811.38/115,707.35 = 66,760.97/x
  3. Step 3: Cross multiply
    83,811.38x = 115,707.35 × 66,760.97
  4. Step 4: Simplify right side
    83,811.38x = 7,724,734,877.59
  5. Step 5: Solve for x
    x = 7,724,734,877.59/83,811.38
  6. Step 6: Final answer
    x = 92,168.10

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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.