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Finding the Fourth Proportional to 33,578.73, 50,364.83 and 10,205.37

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Solution

The fourth proportional to 33,578.73, 50,364.83 and 10,205.37 is: 15,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,578.73 : 50,364.83 = 10,205.37 : x
  2. Step 2: Convert to fraction form
    33,578.73/50,364.83 = 10,205.37/x
  3. Step 3: Cross multiply
    33,578.73x = 50,364.83 × 10,205.37
  4. Step 4: Simplify right side
    33,578.73x = 513,991,674.11
  5. Step 5: Solve for x
    x = 513,991,674.11/33,578.73
  6. Step 6: Final answer
    x = 15,307.06

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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.