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Finding the Fourth Proportional to 83,882.64, 125,785.07 and 31,278

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Solution

The fourth proportional to 83,882.64, 125,785.07 and 31,278 is: 46,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882.64 : 125,785.07 = 31,278 : x
  2. Step 2: Convert to fraction form
    83,882.64/125,785.07 = 31,278/x
  3. Step 3: Cross multiply
    83,882.64x = 125,785.07 × 31,278
  4. Step 4: Simplify right side
    83,882.64x = 3,934,305,419.46
  5. Step 5: Solve for x
    x = 3,934,305,419.46/83,882.64
  6. Step 6: Final answer
    x = 46,902.50

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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.