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Finding the Fourth Proportional to 71,433.60, 107,159.04 and 27,049.92

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Solution

The fourth proportional to 71,433.60, 107,159.04 and 27,049.92 is: 40,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,433.60 : 107,159.04 = 27,049.92 : x
  2. Step 2: Convert to fraction form
    71,433.60/107,159.04 = 27,049.92/x
  3. Step 3: Cross multiply
    71,433.60x = 107,159.04 × 27,049.92
  4. Step 4: Simplify right side
    71,433.60x = 2,898,643,459.28
  5. Step 5: Solve for x
    x = 2,898,643,459.28/71,433.60
  6. Step 6: Final answer
    x = 40,578.15

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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.