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Finding the Fourth Proportional to 41,890.97, 57,820.43 and 27,738.65

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Solution

The fourth proportional to 41,890.97, 57,820.43 and 27,738.65 is: 38,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,890.97 : 57,820.43 = 27,738.65 : x
  2. Step 2: Convert to fraction form
    41,890.97/57,820.43 = 27,738.65/x
  3. Step 3: Cross multiply
    41,890.97x = 57,820.43 × 27,738.65
  4. Step 4: Simplify right side
    41,890.97x = 1,603,860,670.62
  5. Step 5: Solve for x
    x = 1,603,860,670.62/41,890.97
  6. Step 6: Final answer
    x = 38,286.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.