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Finding the Fourth Proportional to 41,272.74, 57,007.92 and 31,827.34

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Solution

The fourth proportional to 41,272.74, 57,007.92 and 31,827.34 is: 43,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,272.74 : 57,007.92 = 31,827.34 : x
  2. Step 2: Convert to fraction form
    41,272.74/57,007.92 = 31,827.34/x
  3. Step 3: Cross multiply
    41,272.74x = 57,007.92 × 31,827.34
  4. Step 4: Simplify right side
    41,272.74x = 1,814,410,452.53
  5. Step 5: Solve for x
    x = 1,814,410,452.53/41,272.74
  6. Step 6: Final answer
    x = 43,961.47

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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.