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Finding the Fourth Proportional to 71,506.72, 107,296.48 and 29,419.12

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Solution

The fourth proportional to 71,506.72, 107,296.48 and 29,419.12 is: 44,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.72 : 107,296.48 = 29,419.12 : x
  2. Step 2: Convert to fraction form
    71,506.72/107,296.48 = 29,419.12/x
  3. Step 3: Cross multiply
    71,506.72x = 107,296.48 × 29,419.12
  4. Step 4: Simplify right side
    71,506.72x = 3,156,568,020.70
  5. Step 5: Solve for x
    x = 3,156,568,020.70/71,506.72
  6. Step 6: Final answer
    x = 44,143.66

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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.