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Finding the Fourth Proportional to 75,716.73, 104,489.78 and 41,726.43

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Solution

The fourth proportional to 75,716.73, 104,489.78 and 41,726.43 is: 57,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,716.73 : 104,489.78 = 41,726.43 : x
  2. Step 2: Convert to fraction form
    75,716.73/104,489.78 = 41,726.43/x
  3. Step 3: Cross multiply
    75,716.73x = 104,489.78 × 41,726.43
  4. Step 4: Simplify right side
    75,716.73x = 4,359,985,595.20
  5. Step 5: Solve for x
    x = 4,359,985,595.20/75,716.73
  6. Step 6: Final answer
    x = 57,582.86

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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.