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Finding the Fourth Proportional to 83,408.31, 115,105.40 and 47,601.66

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Solution

The fourth proportional to 83,408.31, 115,105.40 and 47,601.66 is: 65,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408.31 : 115,105.40 = 47,601.66 : x
  2. Step 2: Convert to fraction form
    83,408.31/115,105.40 = 47,601.66/x
  3. Step 3: Cross multiply
    83,408.31x = 115,105.40 × 47,601.66
  4. Step 4: Simplify right side
    83,408.31x = 5,479,207,876.96
  5. Step 5: Solve for x
    x = 5,479,207,876.96/83,408.31
  6. Step 6: Final answer
    x = 65,691.39

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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.