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Finding the Fourth Proportional to 27,824.67, 41,737.46 and 8,103.38

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Solution

The fourth proportional to 27,824.67, 41,737.46 and 8,103.38 is: 12,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.67 : 41,737.46 = 8,103.38 : x
  2. Step 2: Convert to fraction form
    27,824.67/41,737.46 = 8,103.38/x
  3. Step 3: Cross multiply
    27,824.67x = 41,737.46 × 8,103.38
  4. Step 4: Simplify right side
    27,824.67x = 338,214,249.41
  5. Step 5: Solve for x
    x = 338,214,249.41/27,824.67
  6. Step 6: Final answer
    x = 12,155.19

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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.