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Finding the Fourth Proportional to 83,691.92, 115,497.51 and 45,966.17

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Solution

The fourth proportional to 83,691.92, 115,497.51 and 45,966.17 is: 63,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691.92 : 115,497.51 = 45,966.17 : x
  2. Step 2: Convert to fraction form
    83,691.92/115,497.51 = 45,966.17/x
  3. Step 3: Cross multiply
    83,691.92x = 115,497.51 × 45,966.17
  4. Step 4: Simplify right side
    83,691.92x = 5,308,978,179.24
  5. Step 5: Solve for x
    x = 5,308,978,179.24/83,691.92
  6. Step 6: Final answer
    x = 63,434.78

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1.5x scale

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.