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Finding the Fourth Proportional to 83,486.92, 125,249.28 and 47,964.64

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Solution

The fourth proportional to 83,486.92, 125,249.28 and 47,964.64 is: 71,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486.92 : 125,249.28 = 47,964.64 : x
  2. Step 2: Convert to fraction form
    83,486.92/125,249.28 = 47,964.64/x
  3. Step 3: Cross multiply
    83,486.92x = 125,249.28 × 47,964.64
  4. Step 4: Simplify right side
    83,486.92x = 6,007,536,625.46
  5. Step 5: Solve for x
    x = 6,007,536,625.46/83,486.92
  6. Step 6: Final answer
    x = 71,957.82

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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.