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Finding the Fourth Proportional to 71,916.93, 107,876.31 and 27,546.34

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Solution

The fourth proportional to 71,916.93, 107,876.31 and 27,546.34 is: 41,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,916.93 : 107,876.31 = 27,546.34 : x
  2. Step 2: Convert to fraction form
    71,916.93/107,876.31 = 27,546.34/x
  3. Step 3: Cross multiply
    71,916.93x = 107,876.31 × 27,546.34
  4. Step 4: Simplify right side
    71,916.93x = 2,971,597,375.47
  5. Step 5: Solve for x
    x = 2,971,597,375.47/71,916.93
  6. Step 6: Final answer
    x = 41,319.86

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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.