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Finding the Fourth Proportional to 83,882.92, 125,852.06 and 34,004.97

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Solution

The fourth proportional to 83,882.92, 125,852.06 and 34,004.97 is: 51,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882.92 : 125,852.06 = 34,004.97 : x
  2. Step 2: Convert to fraction form
    83,882.92/125,852.06 = 34,004.97/x
  3. Step 3: Cross multiply
    83,882.92x = 125,852.06 × 34,004.97
  4. Step 4: Simplify right side
    83,882.92x = 4,279,595,524.74
  5. Step 5: Solve for x
    x = 4,279,595,524.74/83,882.92
  6. Step 6: Final answer
    x = 51,018.68

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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.