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Finding the Fourth Proportional to 75,826.62, 104,640.01 and 41,835.38

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Solution

The fourth proportional to 75,826.62, 104,640.01 and 41,835.38 is: 57,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,826.62 : 104,640.01 = 41,835.38 : x
  2. Step 2: Convert to fraction form
    75,826.62/104,640.01 = 41,835.38/x
  3. Step 3: Cross multiply
    75,826.62x = 104,640.01 × 41,835.38
  4. Step 4: Simplify right side
    75,826.62x = 4,377,654,581.55
  5. Step 5: Solve for x
    x = 4,377,654,581.55/75,826.62
  6. Step 6: Final answer
    x = 57,732.42

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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.