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Finding the Fourth Proportional to 83,930.91, 125,850.34 and 33,278.64

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Solution

The fourth proportional to 83,930.91, 125,850.34 and 33,278.64 is: 49,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,930.91 : 125,850.34 = 33,278.64 : x
  2. Step 2: Convert to fraction form
    83,930.91/125,850.34 = 33,278.64/x
  3. Step 3: Cross multiply
    83,930.91x = 125,850.34 × 33,278.64
  4. Step 4: Simplify right side
    83,930.91x = 4,188,128,158.74
  5. Step 5: Solve for x
    x = 4,188,128,158.74/83,930.91
  6. Step 6: Final answer
    x = 49,899.71

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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.