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Finding the Fourth Proportional to 33,982.44, 50,971.14 and 14,260.20

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Solution

The fourth proportional to 33,982.44, 50,971.14 and 14,260.20 is: 21,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982.44 : 50,971.14 = 14,260.20 : x
  2. Step 2: Convert to fraction form
    33,982.44/50,971.14 = 14,260.20/x
  3. Step 3: Cross multiply
    33,982.44x = 50,971.14 × 14,260.20
  4. Step 4: Simplify right side
    33,982.44x = 726,858,650.63
  5. Step 5: Solve for x
    x = 726,858,650.63/33,982.44
  6. Step 6: Final answer
    x = 21,389.24

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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.