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Finding the Fourth Proportional to 83,682, 125,514.90 and 31,091.40

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Solution

The fourth proportional to 83,682, 125,514.90 and 31,091.40 is: 46,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,682 : 125,514.90 = 31,091.40 : x
  2. Step 2: Convert to fraction form
    83,682/125,514.90 = 31,091.40/x
  3. Step 3: Cross multiply
    83,682x = 125,514.90 × 31,091.40
  4. Step 4: Simplify right side
    83,682x = 3,902,433,961.86
  5. Step 5: Solve for x
    x = 3,902,433,961.86/83,682
  6. Step 6: Final answer
    x = 46,634.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.