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Finding the Fourth Proportional to 69,792.38, 96,338.54 and 41,498

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Solution

The fourth proportional to 69,792.38, 96,338.54 and 41,498 is: 57,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,792.38 : 96,338.54 = 41,498 : x
  2. Step 2: Convert to fraction form
    69,792.38/96,338.54 = 41,498/x
  3. Step 3: Cross multiply
    69,792.38x = 96,338.54 × 41,498
  4. Step 4: Simplify right side
    69,792.38x = 3,997,856,732.92
  5. Step 5: Solve for x
    x = 3,997,856,732.92/69,792.38
  6. Step 6: Final answer
    x = 57,282.14

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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.