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Finding the Fourth Proportional to 51,195.87, 76,709.97 and 49,251.87

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Solution

The fourth proportional to 51,195.87, 76,709.97 and 49,251.87 is: 73,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,195.87 : 76,709.97 = 49,251.87 : x
  2. Step 2: Convert to fraction form
    51,195.87/76,709.97 = 49,251.87/x
  3. Step 3: Cross multiply
    51,195.87x = 76,709.97 × 49,251.87
  4. Step 4: Simplify right side
    51,195.87x = 3,778,109,470.14
  5. Step 5: Solve for x
    x = 3,778,109,470.14/51,195.87
  6. Step 6: Final answer
    x = 73,797.15

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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.