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Finding the Fourth Proportional to 71,080.22, 106,584.68 and 23,678.66

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Solution

The fourth proportional to 71,080.22, 106,584.68 and 23,678.66 is: 35,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,080.22 : 106,584.68 = 23,678.66 : x
  2. Step 2: Convert to fraction form
    71,080.22/106,584.68 = 23,678.66/x
  3. Step 3: Cross multiply
    71,080.22x = 106,584.68 × 23,678.66
  4. Step 4: Simplify right side
    71,080.22x = 2,523,781,747.61
  5. Step 5: Solve for x
    x = 2,523,781,747.61/71,080.22
  6. Step 6: Final answer
    x = 35,506.11

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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.