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Finding the Fourth Proportional to 83,702, 125,587.16 and 44,248.56

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Solution

The fourth proportional to 83,702, 125,587.16 and 44,248.56 is: 66,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,702 : 125,587.16 = 44,248.56 : x
  2. Step 2: Convert to fraction form
    83,702/125,587.16 = 44,248.56/x
  3. Step 3: Cross multiply
    83,702x = 125,587.16 × 44,248.56
  4. Step 4: Simplify right side
    83,702x = 5,557,050,984.49
  5. Step 5: Solve for x
    x = 5,557,050,984.49/83,702
  6. Step 6: Final answer
    x = 66,390.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.