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Finding the Fourth Proportional to 69,952.68, 104,906.34 and 23,193

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Solution

The fourth proportional to 69,952.68, 104,906.34 and 23,193 is: 34,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,952.68 : 104,906.34 = 23,193 : x
  2. Step 2: Convert to fraction form
    69,952.68/104,906.34 = 23,193/x
  3. Step 3: Cross multiply
    69,952.68x = 104,906.34 × 23,193
  4. Step 4: Simplify right side
    69,952.68x = 2,433,092,743.62
  5. Step 5: Solve for x
    x = 2,433,092,743.62/69,952.68
  6. Step 6: Final answer
    x = 34,781.98

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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.