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Finding the Fourth Proportional to 77,377.68, 106,741.89 and 50,535.90

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Solution

The fourth proportional to 77,377.68, 106,741.89 and 50,535.90 is: 69,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,377.68 : 106,741.89 = 50,535.90 : x
  2. Step 2: Convert to fraction form
    77,377.68/106,741.89 = 50,535.90/x
  3. Step 3: Cross multiply
    77,377.68x = 106,741.89 × 50,535.90
  4. Step 4: Simplify right side
    77,377.68x = 5,394,297,478.85
  5. Step 5: Solve for x
    x = 5,394,297,478.85/77,377.68
  6. Step 6: Final answer
    x = 69,713.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.