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Finding the Fourth Proportional to 71,468.43, 107,199.57 and 24,080.39

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Solution

The fourth proportional to 71,468.43, 107,199.57 and 24,080.39 is: 36,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,468.43 : 107,199.57 = 24,080.39 : x
  2. Step 2: Convert to fraction form
    71,468.43/107,199.57 = 24,080.39/x
  3. Step 3: Cross multiply
    71,468.43x = 107,199.57 × 24,080.39
  4. Step 4: Simplify right side
    71,468.43x = 2,581,407,274.28
  5. Step 5: Solve for x
    x = 2,581,407,274.28/71,468.43
  6. Step 6: Final answer
    x = 36,119.55

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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.