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Finding the Fourth Proportional to 41,906.88, 57,861.12 and 27,789.12

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Solution

The fourth proportional to 41,906.88, 57,861.12 and 27,789.12 is: 38,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,906.88 : 57,861.12 = 27,789.12 : x
  2. Step 2: Convert to fraction form
    41,906.88/57,861.12 = 27,789.12/x
  3. Step 3: Cross multiply
    41,906.88x = 57,861.12 × 27,789.12
  4. Step 4: Simplify right side
    41,906.88x = 1,607,909,607.01
  5. Step 5: Solve for x
    x = 1,607,909,607.01/41,906.88
  6. Step 6: Final answer
    x = 38,368.63

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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.