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Finding the Fourth Proportional to 34,576.20, 47,713.32 and 20,423.88

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Solution

The fourth proportional to 34,576.20, 47,713.32 and 20,423.88 is: 28,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,576.20 : 47,713.32 = 20,423.88 : x
  2. Step 2: Convert to fraction form
    34,576.20/47,713.32 = 20,423.88/x
  3. Step 3: Cross multiply
    34,576.20x = 47,713.32 × 20,423.88
  4. Step 4: Simplify right side
    34,576.20x = 974,491,122.08
  5. Step 5: Solve for x
    x = 974,491,122.08/34,576.20
  6. Step 6: Final answer
    x = 28,183.87

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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.