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Finding the Fourth Proportional to 29,961.16, 41,361.38 and 18,634.30

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Solution

The fourth proportional to 29,961.16, 41,361.38 and 18,634.30 is: 25,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961.16 : 41,361.38 = 18,634.30 : x
  2. Step 2: Convert to fraction form
    29,961.16/41,361.38 = 18,634.30/x
  3. Step 3: Cross multiply
    29,961.16x = 41,361.38 × 18,634.30
  4. Step 4: Simplify right side
    29,961.16x = 770,740,363.33
  5. Step 5: Solve for x
    x = 770,740,363.33/29,961.16
  6. Step 6: Final answer
    x = 25,724.65

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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.