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Finding the Fourth Proportional to 41,102.12, 56,721.12 and 23,197.88

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Solution

The fourth proportional to 41,102.12, 56,721.12 and 23,197.88 is: 32,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.12 : 56,721.12 = 23,197.88 : x
  2. Step 2: Convert to fraction form
    41,102.12/56,721.12 = 23,197.88/x
  3. Step 3: Cross multiply
    41,102.12x = 56,721.12 × 23,197.88
  4. Step 4: Simplify right side
    41,102.12x = 1,315,809,735.23
  5. Step 5: Solve for x
    x = 1,315,809,735.23/41,102.12
  6. Step 6: Final answer
    x = 32,013.18

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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.