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Finding the Fourth Proportional to 33,712.49, 50,578.79 and 10,020.82

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Solution

The fourth proportional to 33,712.49, 50,578.79 and 10,020.82 is: 15,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.49 : 50,578.79 = 10,020.82 : x
  2. Step 2: Convert to fraction form
    33,712.49/50,578.79 = 10,020.82/x
  3. Step 3: Cross multiply
    33,712.49x = 50,578.79 × 10,020.82
  4. Step 4: Simplify right side
    33,712.49x = 506,840,647.41
  5. Step 5: Solve for x
    x = 506,840,647.41/33,712.49
  6. Step 6: Final answer
    x = 15,034.21

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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.