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Finding the Fourth Proportional to 75,752.43, 104,538.17 and 41,760.65

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Solution

The fourth proportional to 75,752.43, 104,538.17 and 41,760.65 is: 57,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,752.43 : 104,538.17 = 41,760.65 : x
  2. Step 2: Convert to fraction form
    75,752.43/104,538.17 = 41,760.65/x
  3. Step 3: Cross multiply
    75,752.43x = 104,538.17 × 41,760.65
  4. Step 4: Simplify right side
    75,752.43x = 4,365,581,197.52
  5. Step 5: Solve for x
    x = 4,365,581,197.52/75,752.43
  6. Step 6: Final answer
    x = 57,629.59

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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.