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Finding the Fourth Proportional to 33,284.40, 49,861.80 and 20,097.60

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Solution

The fourth proportional to 33,284.40, 49,861.80 and 20,097.60 is: 30,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284.40 : 49,861.80 = 20,097.60 : x
  2. Step 2: Convert to fraction form
    33,284.40/49,861.80 = 20,097.60/x
  3. Step 3: Cross multiply
    33,284.40x = 49,861.80 × 20,097.60
  4. Step 4: Simplify right side
    33,284.40x = 1,002,102,511.68
  5. Step 5: Solve for x
    x = 1,002,102,511.68/33,284.40
  6. Step 6: Final answer
    x = 30,107.27

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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.