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Finding the Fourth Proportional to 83,184.82, 124,763.56 and 29,865.76

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Solution

The fourth proportional to 83,184.82, 124,763.56 and 29,865.76 is: 44,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,184.82 : 124,763.56 = 29,865.76 : x
  2. Step 2: Convert to fraction form
    83,184.82/124,763.56 = 29,865.76/x
  3. Step 3: Cross multiply
    83,184.82x = 124,763.56 × 29,865.76
  4. Step 4: Simplify right side
    83,184.82x = 3,726,158,153.13
  5. Step 5: Solve for x
    x = 3,726,158,153.13/83,184.82
  6. Step 6: Final answer
    x = 44,793.73

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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.