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Finding the Fourth Proportional to 54,223.80, 81,311.40 and 24,626.40

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Solution

The fourth proportional to 54,223.80, 81,311.40 and 24,626.40 is: 36,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,223.80 : 81,311.40 = 24,626.40 : x
  2. Step 2: Convert to fraction form
    54,223.80/81,311.40 = 24,626.40/x
  3. Step 3: Cross multiply
    54,223.80x = 81,311.40 × 24,626.40
  4. Step 4: Simplify right side
    54,223.80x = 2,002,407,060.96
  5. Step 5: Solve for x
    x = 2,002,407,060.96/54,223.80
  6. Step 6: Final answer
    x = 36,928.56

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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.