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Finding the Fourth Proportional to 41,912.49, 57,863.07 and 27,613.84

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Solution

The fourth proportional to 41,912.49, 57,863.07 and 27,613.84 is: 38,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,912.49 : 57,863.07 = 27,613.84 : x
  2. Step 2: Convert to fraction form
    41,912.49/57,863.07 = 27,613.84/x
  3. Step 3: Cross multiply
    41,912.49x = 57,863.07 × 27,613.84
  4. Step 4: Simplify right side
    41,912.49x = 1,597,821,222.07
  5. Step 5: Solve for x
    x = 1,597,821,222.07/41,912.49
  6. Step 6: Final answer
    x = 38,122.80

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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.