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Finding the Fourth Proportional to 71,817.64, 107,733.85 and 27,481.68

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Solution

The fourth proportional to 71,817.64, 107,733.85 and 27,481.68 is: 41,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,817.64 : 107,733.85 = 27,481.68 : x
  2. Step 2: Convert to fraction form
    71,817.64/107,733.85 = 27,481.68/x
  3. Step 3: Cross multiply
    71,817.64x = 107,733.85 × 27,481.68
  4. Step 4: Simplify right side
    71,817.64x = 2,960,707,122.16
  5. Step 5: Solve for x
    x = 2,960,707,122.16/71,817.64
  6. Step 6: Final answer
    x = 41,225.35

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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.