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Finding the Fourth Proportional to 41,777.10, 57,609.90 and 27,634.50

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Solution

The fourth proportional to 41,777.10, 57,609.90 and 27,634.50 is: 38,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,777.10 : 57,609.90 = 27,634.50 : x
  2. Step 2: Convert to fraction form
    41,777.10/57,609.90 = 27,634.50/x
  3. Step 3: Cross multiply
    41,777.10x = 57,609.90 × 27,634.50
  4. Step 4: Simplify right side
    41,777.10x = 1,592,020,781.55
  5. Step 5: Solve for x
    x = 1,592,020,781.55/41,777.10
  6. Step 6: Final answer
    x = 38,107.50

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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.