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Finding the Fourth Proportional to 83,179.82, 114,788.46 and 45,454.08

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Solution

The fourth proportional to 83,179.82, 114,788.46 and 45,454.08 is: 62,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,179.82 : 114,788.46 = 45,454.08 : x
  2. Step 2: Convert to fraction form
    83,179.82/114,788.46 = 45,454.08/x
  3. Step 3: Cross multiply
    83,179.82x = 114,788.46 × 45,454.08
  4. Step 4: Simplify right side
    83,179.82x = 5,217,603,843.92
  5. Step 5: Solve for x
    x = 5,217,603,843.92/83,179.82
  6. Step 6: Final answer
    x = 62,726.80

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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.