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Finding the Fourth Proportional to 33,456.70, 50,185.08 and 10,083.14

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Solution

The fourth proportional to 33,456.70, 50,185.08 and 10,083.14 is: 15,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456.70 : 50,185.08 = 10,083.14 : x
  2. Step 2: Convert to fraction form
    33,456.70/50,185.08 = 10,083.14/x
  3. Step 3: Cross multiply
    33,456.70x = 50,185.08 × 10,083.14
  4. Step 4: Simplify right side
    33,456.70x = 506,022,936.63
  5. Step 5: Solve for x
    x = 506,022,936.63/33,456.70
  6. Step 6: Final answer
    x = 15,124.71

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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.