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Finding the Fourth Proportional to 83,431.22, 125,145.74 and 20,251.84

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Solution

The fourth proportional to 83,431.22, 125,145.74 and 20,251.84 is: 30,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,431.22 : 125,145.74 = 20,251.84 : x
  2. Step 2: Convert to fraction form
    83,431.22/125,145.74 = 20,251.84/x
  3. Step 3: Cross multiply
    83,431.22x = 125,145.74 × 20,251.84
  4. Step 4: Simplify right side
    83,431.22x = 2,534,431,503.16
  5. Step 5: Solve for x
    x = 2,534,431,503.16/83,431.22
  6. Step 6: Final answer
    x = 30,377.50

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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.