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Finding the Fourth Proportional to 77,474.20, 115,919.70 and 51,230.20

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Solution

The fourth proportional to 77,474.20, 115,919.70 and 51,230.20 is: 76,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,474.20 : 115,919.70 = 51,230.20 : x
  2. Step 2: Convert to fraction form
    77,474.20/115,919.70 = 51,230.20/x
  3. Step 3: Cross multiply
    77,474.20x = 115,919.70 × 51,230.20
  4. Step 4: Simplify right side
    77,474.20x = 5,938,589,414.94
  5. Step 5: Solve for x
    x = 5,938,589,414.94/77,474.20
  6. Step 6: Final answer
    x = 76,652.48

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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.