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Finding the Fourth Proportional to 83,770.26, 115,585.26 and 49,766.64

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Solution

The fourth proportional to 83,770.26, 115,585.26 and 49,766.64 is: 68,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770.26 : 115,585.26 = 49,766.64 : x
  2. Step 2: Convert to fraction form
    83,770.26/115,585.26 = 49,766.64/x
  3. Step 3: Cross multiply
    83,770.26x = 115,585.26 × 49,766.64
  4. Step 4: Simplify right side
    83,770.26x = 5,752,290,023.73
  5. Step 5: Solve for x
    x = 5,752,290,023.73/83,770.26
  6. Step 6: Final answer
    x = 68,667.45

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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.