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Finding the Fourth Proportional to 41,766, 57,630 and 27,611.28

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Solution

The fourth proportional to 41,766, 57,630 and 27,611.28 is: 38,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,766 : 57,630 = 27,611.28 : x
  2. Step 2: Convert to fraction form
    41,766/57,630 = 27,611.28/x
  3. Step 3: Cross multiply
    41,766x = 57,630 × 27,611.28
  4. Step 4: Simplify right side
    41,766x = 1,591,238,066.40
  5. Step 5: Solve for x
    x = 1,591,238,066.40/41,766
  6. Step 6: Final answer
    x = 38,098.89

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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.