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Finding the Fourth Proportional to 71,548.96, 107,279.68 and 34,120.48

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Solution

The fourth proportional to 71,548.96, 107,279.68 and 34,120.48 is: 51,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,548.96 : 107,279.68 = 34,120.48 : x
  2. Step 2: Convert to fraction form
    71,548.96/107,279.68 = 34,120.48/x
  3. Step 3: Cross multiply
    71,548.96x = 107,279.68 × 34,120.48
  4. Step 4: Simplify right side
    71,548.96x = 3,660,434,175.85
  5. Step 5: Solve for x
    x = 3,660,434,175.85/71,548.96
  6. Step 6: Final answer
    x = 51,159.85

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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.