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Finding the Fourth Proportional to 75,461.56, 104,131.92 and 41,469.31

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Solution

The fourth proportional to 75,461.56, 104,131.92 and 41,469.31 is: 57,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,461.56 : 104,131.92 = 41,469.31 : x
  2. Step 2: Convert to fraction form
    75,461.56/104,131.92 = 41,469.31/x
  3. Step 3: Cross multiply
    75,461.56x = 104,131.92 × 41,469.31
  4. Step 4: Simplify right side
    75,461.56x = 4,318,279,100.02
  5. Step 5: Solve for x
    x = 4,318,279,100.02/75,461.56
  6. Step 6: Final answer
    x = 57,224.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.