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Finding the Fourth Proportional to 41,296, 61,951.68 and 19,408

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Solution

The fourth proportional to 41,296, 61,951.68 and 19,408 is: 29,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,296 : 61,951.68 = 19,408 : x
  2. Step 2: Convert to fraction form
    41,296/61,951.68 = 19,408/x
  3. Step 3: Cross multiply
    41,296x = 61,951.68 × 19,408
  4. Step 4: Simplify right side
    41,296x = 1,202,358,205.44
  5. Step 5: Solve for x
    x = 1,202,358,205.44/41,296
  6. Step 6: Final answer
    x = 29,115.61

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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.