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Finding the Fourth Proportional to 41,961, 57,906.24 and 23,098.80

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Solution

The fourth proportional to 41,961, 57,906.24 and 23,098.80 is: 31,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,961 : 57,906.24 = 23,098.80 : x
  2. Step 2: Convert to fraction form
    41,961/57,906.24 = 23,098.80/x
  3. Step 3: Cross multiply
    41,961x = 57,906.24 × 23,098.80
  4. Step 4: Simplify right side
    41,961x = 1,337,564,656.51
  5. Step 5: Solve for x
    x = 1,337,564,656.51/41,961
  6. Step 6: Final answer
    x = 31,876.38

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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.