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Finding the Fourth Proportional to 27,872.70, 41,811.21 and 8,150.82

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Solution

The fourth proportional to 27,872.70, 41,811.21 and 8,150.82 is: 12,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.70 : 41,811.21 = 8,150.82 : x
  2. Step 2: Convert to fraction form
    27,872.70/41,811.21 = 8,150.82/x
  3. Step 3: Cross multiply
    27,872.70x = 41,811.21 × 8,150.82
  4. Step 4: Simplify right side
    27,872.70x = 340,795,646.69
  5. Step 5: Solve for x
    x = 340,795,646.69/27,872.70
  6. Step 6: Final answer
    x = 12,226.86

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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.