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Finding the Fourth Proportional to 75,716.50, 104,489.47 and 41,726.20

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Solution

The fourth proportional to 75,716.50, 104,489.47 and 41,726.20 is: 57,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,716.50 : 104,489.47 = 41,726.20 : x
  2. Step 2: Convert to fraction form
    75,716.50/104,489.47 = 41,726.20/x
  3. Step 3: Cross multiply
    75,716.50x = 104,489.47 × 41,726.20
  4. Step 4: Simplify right side
    75,716.50x = 4,359,948,523.11
  5. Step 5: Solve for x
    x = 4,359,948,523.11/75,716.50
  6. Step 6: Final answer
    x = 57,582.54

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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.