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Finding the Fourth Proportional to 33,709.25, 50,586.44 and 13,987.82

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Solution

The fourth proportional to 33,709.25, 50,586.44 and 13,987.82 is: 20,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.25 : 50,586.44 = 13,987.82 : x
  2. Step 2: Convert to fraction form
    33,709.25/50,586.44 = 13,987.82/x
  3. Step 3: Cross multiply
    33,709.25x = 50,586.44 × 13,987.82
  4. Step 4: Simplify right side
    33,709.25x = 707,593,694.29
  5. Step 5: Solve for x
    x = 707,593,694.29/33,709.25
  6. Step 6: Final answer
    x = 20,991.09

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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.