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Finding the Fourth Proportional to 41,512, 57,286.56 and 22,649.54

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Solution

The fourth proportional to 41,512, 57,286.56 and 22,649.54 is: 31,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,512 : 57,286.56 = 22,649.54 : x
  2. Step 2: Convert to fraction form
    41,512/57,286.56 = 22,649.54/x
  3. Step 3: Cross multiply
    41,512x = 57,286.56 × 22,649.54
  4. Step 4: Simplify right side
    41,512x = 1,297,514,232.18
  5. Step 5: Solve for x
    x = 1,297,514,232.18/41,512
  6. Step 6: Final answer
    x = 31,256.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.