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Finding the Fourth Proportional to 33,690.75, 50,514.52 and 13,982.91

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Solution

The fourth proportional to 33,690.75, 50,514.52 and 13,982.91 is: 20,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690.75 : 50,514.52 = 13,982.91 : x
  2. Step 2: Convert to fraction form
    33,690.75/50,514.52 = 13,982.91/x
  3. Step 3: Cross multiply
    33,690.75x = 50,514.52 × 13,982.91
  4. Step 4: Simplify right side
    33,690.75x = 706,339,986.85
  5. Step 5: Solve for x
    x = 706,339,986.85/33,690.75
  6. Step 6: Final answer
    x = 20,965.40

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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.