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Finding the Fourth Proportional to 29,972.74, 41,361.75 and 16,360.33

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Solution

The fourth proportional to 29,972.74, 41,361.75 and 16,360.33 is: 22,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972.74 : 41,361.75 = 16,360.33 : x
  2. Step 2: Convert to fraction form
    29,972.74/41,361.75 = 16,360.33/x
  3. Step 3: Cross multiply
    29,972.74x = 41,361.75 × 16,360.33
  4. Step 4: Simplify right side
    29,972.74x = 676,691,879.38
  5. Step 5: Solve for x
    x = 676,691,879.38/29,972.74
  6. Step 6: Final answer
    x = 22,576.91

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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.