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Finding the Fourth Proportional to 80,025.77, 119,974.32 and 54,991.64

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Solution

The fourth proportional to 80,025.77, 119,974.32 and 54,991.64 is: 82,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,025.77 : 119,974.32 = 54,991.64 : x
  2. Step 2: Convert to fraction form
    80,025.77/119,974.32 = 54,991.64/x
  3. Step 3: Cross multiply
    80,025.77x = 119,974.32 × 54,991.64
  4. Step 4: Simplify right side
    80,025.77x = 6,597,584,614.68
  5. Step 5: Solve for x
    x = 6,597,584,614.68/80,025.77
  6. Step 6: Final answer
    x = 82,443.25

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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.