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Finding the Fourth Proportional to 34,234.20, 51,236.10 and 31,469.40

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Solution

The fourth proportional to 34,234.20, 51,236.10 and 31,469.40 is: 47,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234.20 : 51,236.10 = 31,469.40 : x
  2. Step 2: Convert to fraction form
    34,234.20/51,236.10 = 31,469.40/x
  3. Step 3: Cross multiply
    34,234.20x = 51,236.10 × 31,469.40
  4. Step 4: Simplify right side
    34,234.20x = 1,612,369,325.34
  5. Step 5: Solve for x
    x = 1,612,369,325.34/34,234.20
  6. Step 6: Final answer
    x = 47,098.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.