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Finding the Fourth Proportional to 83,843.82, 125,765.82 and 21,514.32

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Solution

The fourth proportional to 83,843.82, 125,765.82 and 21,514.32 is: 32,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.82 : 125,765.82 = 21,514.32 : x
  2. Step 2: Convert to fraction form
    83,843.82/125,765.82 = 21,514.32/x
  3. Step 3: Cross multiply
    83,843.82x = 125,765.82 × 21,514.32
  4. Step 4: Simplify right side
    83,843.82x = 2,705,766,096.54
  5. Step 5: Solve for x
    x = 2,705,766,096.54/83,843.82
  6. Step 6: Final answer
    x = 32,271.50

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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.