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Finding the Fourth Proportional to 33,714.50, 50,578.25 and 12,936.38

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Solution

The fourth proportional to 33,714.50, 50,578.25 and 12,936.38 is: 19,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.50 : 50,578.25 = 12,936.38 : x
  2. Step 2: Convert to fraction form
    33,714.50/50,578.25 = 12,936.38/x
  3. Step 3: Cross multiply
    33,714.50x = 50,578.25 × 12,936.38
  4. Step 4: Simplify right side
    33,714.50x = 654,299,144.16
  5. Step 5: Solve for x
    x = 654,299,144.16/33,714.50
  6. Step 6: Final answer
    x = 19,407.06

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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.