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Finding the Fourth Proportional to 41,890.88, 57,766.56 and 27,738.56

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Solution

The fourth proportional to 41,890.88, 57,766.56 and 27,738.56 is: 38,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,890.88 : 57,766.56 = 27,738.56 : x
  2. Step 2: Convert to fraction form
    41,890.88/57,766.56 = 27,738.56/x
  3. Step 3: Cross multiply
    41,890.88x = 57,766.56 × 27,738.56
  4. Step 4: Simplify right side
    41,890.88x = 1,602,361,190.55
  5. Step 5: Solve for x
    x = 1,602,361,190.55/41,890.88
  6. Step 6: Final answer
    x = 38,250.84

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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.