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Finding the Fourth Proportional to 41,229, 61,843.86 and 11,646.18

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Solution

The fourth proportional to 41,229, 61,843.86 and 11,646.18 is: 17,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,229 : 61,843.86 = 11,646.18 : x
  2. Step 2: Convert to fraction form
    41,229/61,843.86 = 11,646.18/x
  3. Step 3: Cross multiply
    41,229x = 61,843.86 × 11,646.18
  4. Step 4: Simplify right side
    41,229x = 720,244,725.45
  5. Step 5: Solve for x
    x = 720,244,725.45/41,229
  6. Step 6: Final answer
    x = 17,469.37

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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.