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Finding the Fourth Proportional to 71,662.60, 107,493.90 and 27,309.88

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Solution

The fourth proportional to 71,662.60, 107,493.90 and 27,309.88 is: 40,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662.60 : 107,493.90 = 27,309.88 : x
  2. Step 2: Convert to fraction form
    71,662.60/107,493.90 = 27,309.88/x
  3. Step 3: Cross multiply
    71,662.60x = 107,493.90 × 27,309.88
  4. Step 4: Simplify right side
    71,662.60x = 2,935,645,509.73
  5. Step 5: Solve for x
    x = 2,935,645,509.73/71,662.60
  6. Step 6: Final answer
    x = 40,964.82

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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.