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Finding the Fourth Proportional to 92,251.50, 138,377.25 and 29,922

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Solution

The fourth proportional to 92,251.50, 138,377.25 and 29,922 is: 44,883

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,251.50 : 138,377.25 = 29,922 : x
  2. Step 2: Convert to fraction form
    92,251.50/138,377.25 = 29,922/x
  3. Step 3: Cross multiply
    92,251.50x = 138,377.25 × 29,922
  4. Step 4: Simplify right side
    92,251.50x = 4,140,524,074.50
  5. Step 5: Solve for x
    x = 4,140,524,074.50/92,251.50
  6. Step 6: Final answer
    x = 44,883

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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.