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Finding the Fourth Proportional to 83,635, 125,427.90 and 24,456.60

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Solution

The fourth proportional to 83,635, 125,427.90 and 24,456.60 is: 36,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,635 : 125,427.90 = 24,456.60 : x
  2. Step 2: Convert to fraction form
    83,635/125,427.90 = 24,456.60/x
  3. Step 3: Cross multiply
    83,635x = 125,427.90 × 24,456.60
  4. Step 4: Simplify right side
    83,635x = 3,067,539,979.14
  5. Step 5: Solve for x
    x = 3,067,539,979.14/83,635
  6. Step 6: Final answer
    x = 36,677.71

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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.