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Finding the Fourth Proportional to 83,842.31, 125,736.78 and 27,671.96

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Solution

The fourth proportional to 83,842.31, 125,736.78 and 27,671.96 is: 41,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.31 : 125,736.78 = 27,671.96 : x
  2. Step 2: Convert to fraction form
    83,842.31/125,736.78 = 27,671.96/x
  3. Step 3: Cross multiply
    83,842.31x = 125,736.78 × 27,671.96
  4. Step 4: Simplify right side
    83,842.31x = 3,479,383,146.69
  5. Step 5: Solve for x
    x = 3,479,383,146.69/83,842.31
  6. Step 6: Final answer
    x = 41,499.13

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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.