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Finding the Fourth Proportional to 71,709.38, 107,559.97 and 27,340.62

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Solution

The fourth proportional to 71,709.38, 107,559.97 and 27,340.62 is: 41,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.38 : 107,559.97 = 27,340.62 : x
  2. Step 2: Convert to fraction form
    71,709.38/107,559.97 = 27,340.62/x
  3. Step 3: Cross multiply
    71,709.38x = 107,559.97 × 27,340.62
  4. Step 4: Simplify right side
    71,709.38x = 2,940,756,198.63
  5. Step 5: Solve for x
    x = 2,940,756,198.63/71,709.38
  6. Step 6: Final answer
    x = 41,009.36

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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.