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Finding the Fourth Proportional to 27,846, 41,770.44 and 9,124.44

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Solution

The fourth proportional to 27,846, 41,770.44 and 9,124.44 is: 13,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846 : 41,770.44 = 9,124.44 : x
  2. Step 2: Convert to fraction form
    27,846/41,770.44 = 9,124.44/x
  3. Step 3: Cross multiply
    27,846x = 41,770.44 × 9,124.44
  4. Step 4: Simplify right side
    27,846x = 381,131,873.55
  5. Step 5: Solve for x
    x = 381,131,873.55/27,846
  6. Step 6: Final answer
    x = 13,687.13

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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.