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Finding the Fourth Proportional to 83,841.81, 125,736.03 and 27,671.46

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Solution

The fourth proportional to 83,841.81, 125,736.03 and 27,671.46 is: 41,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841.81 : 125,736.03 = 27,671.46 : x
  2. Step 2: Convert to fraction form
    83,841.81/125,736.03 = 27,671.46/x
  3. Step 3: Cross multiply
    83,841.81x = 125,736.03 × 27,671.46
  4. Step 4: Simplify right side
    83,841.81x = 3,479,299,524.70
  5. Step 5: Solve for x
    x = 3,479,299,524.70/83,841.81
  6. Step 6: Final answer
    x = 41,498.38

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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.