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Finding the Fourth Proportional to 34,508.28, 47,644.56 and 23,194.66

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Solution

The fourth proportional to 34,508.28, 47,644.56 and 23,194.66 is: 32,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,508.28 : 47,644.56 = 23,194.66 : x
  2. Step 2: Convert to fraction form
    34,508.28/47,644.56 = 23,194.66/x
  3. Step 3: Cross multiply
    34,508.28x = 47,644.56 × 23,194.66
  4. Step 4: Simplify right side
    34,508.28x = 1,105,099,370.05
  5. Step 5: Solve for x
    x = 1,105,099,370.05/34,508.28
  6. Step 6: Final answer
    x = 32,024.18

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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.