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Finding the Fourth Proportional to 27,672.30, 41,508.42 and 10,143.50

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Solution

The fourth proportional to 27,672.30, 41,508.42 and 10,143.50 is: 15,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.30 : 41,508.42 = 10,143.50 : x
  2. Step 2: Convert to fraction form
    27,672.30/41,508.42 = 10,143.50/x
  3. Step 3: Cross multiply
    27,672.30x = 41,508.42 × 10,143.50
  4. Step 4: Simplify right side
    27,672.30x = 421,040,658.27
  5. Step 5: Solve for x
    x = 421,040,658.27/27,672.30
  6. Step 6: Final answer
    x = 15,215.24

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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.