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Finding the Fourth Proportional to 41,634, 62,446.41 and 10,469.25

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Solution

The fourth proportional to 41,634, 62,446.41 and 10,469.25 is: 15,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,634 : 62,446.41 = 10,469.25 : x
  2. Step 2: Convert to fraction form
    41,634/62,446.41 = 10,469.25/x
  3. Step 3: Cross multiply
    41,634x = 62,446.41 × 10,469.25
  4. Step 4: Simplify right side
    41,634x = 653,767,077.89
  5. Step 5: Solve for x
    x = 653,767,077.89/41,634
  6. Step 6: Final answer
    x = 15,702.72

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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.