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Finding the Fourth Proportional to 33,690.76, 50,514.52 and 13,982.92

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Solution

The fourth proportional to 33,690.76, 50,514.52 and 13,982.92 is: 20,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690.76 : 50,514.52 = 13,982.92 : x
  2. Step 2: Convert to fraction form
    33,690.76/50,514.52 = 13,982.92/x
  3. Step 3: Cross multiply
    33,690.76x = 50,514.52 × 13,982.92
  4. Step 4: Simplify right side
    33,690.76x = 706,340,492.00
  5. Step 5: Solve for x
    x = 706,340,492.00/33,690.76
  6. Step 6: Final answer
    x = 20,965.41

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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.