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Finding the Fourth Proportional to 33,713.84, 50,601.78 and 17,085.44

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Solution

The fourth proportional to 33,713.84, 50,601.78 and 17,085.44 is: 25,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713.84 : 50,601.78 = 17,085.44 : x
  2. Step 2: Convert to fraction form
    33,713.84/50,601.78 = 17,085.44/x
  3. Step 3: Cross multiply
    33,713.84x = 50,601.78 × 17,085.44
  4. Step 4: Simplify right side
    33,713.84x = 864,553,676.08
  5. Step 5: Solve for x
    x = 864,553,676.08/33,713.84
  6. Step 6: Final answer
    x = 25,643.88

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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.