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Finding the Fourth Proportional to 71,638.59, 107,310.21 and 41,966.46

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Solution

The fourth proportional to 71,638.59, 107,310.21 and 41,966.46 is: 62,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,638.59 : 107,310.21 = 41,966.46 : x
  2. Step 2: Convert to fraction form
    71,638.59/107,310.21 = 41,966.46/x
  3. Step 3: Cross multiply
    71,638.59x = 107,310.21 × 41,966.46
  4. Step 4: Simplify right side
    71,638.59x = 4,503,429,635.56
  5. Step 5: Solve for x
    x = 4,503,429,635.56/71,638.59
  6. Step 6: Final answer
    x = 62,863.18

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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.