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Finding the Fourth Proportional to 23,105.46, 34,660.90 and 8,108

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Solution

The fourth proportional to 23,105.46, 34,660.90 and 8,108 is: 12,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.46 : 34,660.90 = 8,108 : x
  2. Step 2: Convert to fraction form
    23,105.46/34,660.90 = 8,108/x
  3. Step 3: Cross multiply
    23,105.46x = 34,660.90 × 8,108
  4. Step 4: Simplify right side
    23,105.46x = 281,030,577.20
  5. Step 5: Solve for x
    x = 281,030,577.20/23,105.46
  6. Step 6: Final answer
    x = 12,162.95

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Why These Related Problems?

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