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Finding the Fourth Proportional to 38,650.86, 57,974.40 and 22,649.31

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Solution

The fourth proportional to 38,650.86, 57,974.40 and 22,649.31 is: 33,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,650.86 : 57,974.40 = 22,649.31 : x
  2. Step 2: Convert to fraction form
    38,650.86/57,974.40 = 22,649.31/x
  3. Step 3: Cross multiply
    38,650.86x = 57,974.40 × 22,649.31
  4. Step 4: Simplify right side
    38,650.86x = 1,313,080,157.66
  5. Step 5: Solve for x
    x = 1,313,080,157.66/38,650.86
  6. Step 6: Final answer
    x = 33,972.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.