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Finding the Fourth Proportional to 71,081.60, 106,593.60 and 24,310.40

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Solution

The fourth proportional to 71,081.60, 106,593.60 and 24,310.40 is: 36,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,081.60 : 106,593.60 = 24,310.40 : x
  2. Step 2: Convert to fraction form
    71,081.60/106,593.60 = 24,310.40/x
  3. Step 3: Cross multiply
    71,081.60x = 106,593.60 × 24,310.40
  4. Step 4: Simplify right side
    71,081.60x = 2,591,333,053.44
  5. Step 5: Solve for x
    x = 2,591,333,053.44/71,081.60
  6. Step 6: Final answer
    x = 36,455.75

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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.