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Finding the Fourth Proportional to 27,846.10, 41,770.97 and 8,123

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Solution

The fourth proportional to 27,846.10, 41,770.97 and 8,123 is: 12,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.10 : 41,770.97 = 8,123 : x
  2. Step 2: Convert to fraction form
    27,846.10/41,770.97 = 8,123/x
  3. Step 3: Cross multiply
    27,846.10x = 41,770.97 × 8,123
  4. Step 4: Simplify right side
    27,846.10x = 339,305,589.31
  5. Step 5: Solve for x
    x = 339,305,589.31/27,846.10
  6. Step 6: Final answer
    x = 12,185.03

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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.