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Finding the Fourth Proportional to 86,251.50, 129,377.25 and 23,922

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Solution

The fourth proportional to 86,251.50, 129,377.25 and 23,922 is: 35,883

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,251.50 : 129,377.25 = 23,922 : x
  2. Step 2: Convert to fraction form
    86,251.50/129,377.25 = 23,922/x
  3. Step 3: Cross multiply
    86,251.50x = 129,377.25 × 23,922
  4. Step 4: Simplify right side
    86,251.50x = 3,094,962,574.50
  5. Step 5: Solve for x
    x = 3,094,962,574.50/86,251.50
  6. Step 6: Final answer
    x = 35,883

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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.