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Finding the Fourth Proportional to 27,882.41, 41,830.20 and 9,162.50

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Solution

The fourth proportional to 27,882.41, 41,830.20 and 9,162.50 is: 13,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.41 : 41,830.20 = 9,162.50 : x
  2. Step 2: Convert to fraction form
    27,882.41/41,830.20 = 9,162.50/x
  3. Step 3: Cross multiply
    27,882.41x = 41,830.20 × 9,162.50
  4. Step 4: Simplify right side
    27,882.41x = 383,269,161.69
  5. Step 5: Solve for x
    x = 383,269,161.69/27,882.41
  6. Step 6: Final answer
    x = 13,745.91

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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.