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Finding the Fourth Proportional to 41,098, 61,651.88 and 13,396

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Solution

The fourth proportional to 41,098, 61,651.88 and 13,396 is: 20,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,098 : 61,651.88 = 13,396 : x
  2. Step 2: Convert to fraction form
    41,098/61,651.88 = 13,396/x
  3. Step 3: Cross multiply
    41,098x = 61,651.88 × 13,396
  4. Step 4: Simplify right side
    41,098x = 825,888,584.48
  5. Step 5: Solve for x
    x = 825,888,584.48/41,098
  6. Step 6: Final answer
    x = 20,095.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.