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Finding the Fourth Proportional to 71,709.57, 107,560.25 and 27,340.80

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Solution

The fourth proportional to 71,709.57, 107,560.25 and 27,340.80 is: 41,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.57 : 107,560.25 = 27,340.80 : x
  2. Step 2: Convert to fraction form
    71,709.57/107,560.25 = 27,340.80/x
  3. Step 3: Cross multiply
    71,709.57x = 107,560.25 × 27,340.80
  4. Step 4: Simplify right side
    71,709.57x = 2,940,783,146.50
  5. Step 5: Solve for x
    x = 2,940,783,146.50/71,709.57
  6. Step 6: Final answer
    x = 41,009.63

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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.