Home / 27,826.78-41,747-8,105.52

Finding the Fourth Proportional to 27,826.78, 41,747 and 8,105.52

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Solution

The fourth proportional to 27,826.78, 41,747 and 8,105.52 is: 12,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.78 : 41,747 = 8,105.52 : x
  2. Step 2: Convert to fraction form
    27,826.78/41,747 = 8,105.52/x
  3. Step 3: Cross multiply
    27,826.78x = 41,747 × 8,105.52
  4. Step 4: Simplify right side
    27,826.78x = 338,381,143.44
  5. Step 5: Solve for x
    x = 338,381,143.44/27,826.78
  6. Step 6: Final answer
    x = 12,160.27

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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.