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Finding the Fourth Proportional to 34,207.70, 51,311.19 and 10,834.14

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Solution

The fourth proportional to 34,207.70, 51,311.19 and 10,834.14 is: 16,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,207.70 : 51,311.19 = 10,834.14 : x
  2. Step 2: Convert to fraction form
    34,207.70/51,311.19 = 10,834.14/x
  3. Step 3: Cross multiply
    34,207.70x = 51,311.19 × 10,834.14
  4. Step 4: Simplify right side
    34,207.70x = 555,912,616.03
  5. Step 5: Solve for x
    x = 555,912,616.03/34,207.70
  6. Step 6: Final answer
    x = 16,251.10

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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.