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Finding the Fourth Proportional to 23,161, 34,743.42 and 6,745

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Solution

The fourth proportional to 23,161, 34,743.42 and 6,745 is: 10,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161 : 34,743.42 = 6,745 : x
  2. Step 2: Convert to fraction form
    23,161/34,743.42 = 6,745/x
  3. Step 3: Cross multiply
    23,161x = 34,743.42 × 6,745
  4. Step 4: Simplify right side
    23,161x = 234,344,367.90
  5. Step 5: Solve for x
    x = 234,344,367.90/23,161
  6. Step 6: Final answer
    x = 10,118.06

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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.