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Finding the Fourth Proportional to 41,642.91, 57,466.67 and 23,738.21

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Solution

The fourth proportional to 41,642.91, 57,466.67 and 23,738.21 is: 32,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642.91 : 57,466.67 = 23,738.21 : x
  2. Step 2: Convert to fraction form
    41,642.91/57,466.67 = 23,738.21/x
  3. Step 3: Cross multiply
    41,642.91x = 57,466.67 × 23,738.21
  4. Step 4: Simplify right side
    41,642.91x = 1,364,156,013.19
  5. Step 5: Solve for x
    x = 1,364,156,013.19/41,642.91
  6. Step 6: Final answer
    x = 32,758.42

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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.