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Finding the Fourth Proportional to 85,842.44, 128,791.68 and 41,474.28

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Solution

The fourth proportional to 85,842.44, 128,791.68 and 41,474.28 is: 62,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842.44 : 128,791.68 = 41,474.28 : x
  2. Step 2: Convert to fraction form
    85,842.44/128,791.68 = 41,474.28/x
  3. Step 3: Cross multiply
    85,842.44x = 128,791.68 × 41,474.28
  4. Step 4: Simplify right side
    85,842.44x = 5,341,542,197.99
  5. Step 5: Solve for x
    x = 5,341,542,197.99/85,842.44
  6. Step 6: Final answer
    x = 62,224.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.