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Finding the Fourth Proportional to 27,361.92, 41,049.84 and 7,640.52

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Solution

The fourth proportional to 27,361.92, 41,049.84 and 7,640.52 is: 11,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,361.92 : 41,049.84 = 7,640.52 : x
  2. Step 2: Convert to fraction form
    27,361.92/41,049.84 = 7,640.52/x
  3. Step 3: Cross multiply
    27,361.92x = 41,049.84 × 7,640.52
  4. Step 4: Simplify right side
    27,361.92x = 313,642,123.52
  5. Step 5: Solve for x
    x = 313,642,123.52/27,361.92
  6. Step 6: Final answer
    x = 11,462.72

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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.