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Finding the Fourth Proportional to 80,571.52, 120,876.09 and 24,412.06

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Solution

The fourth proportional to 80,571.52, 120,876.09 and 24,412.06 is: 36,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,571.52 : 120,876.09 = 24,412.06 : x
  2. Step 2: Convert to fraction form
    80,571.52/120,876.09 = 24,412.06/x
  3. Step 3: Cross multiply
    80,571.52x = 120,876.09 × 24,412.06
  4. Step 4: Simplify right side
    80,571.52x = 2,950,834,361.65
  5. Step 5: Solve for x
    x = 2,950,834,361.65/80,571.52
  6. Step 6: Final answer
    x = 36,623.79

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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.