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Finding the Fourth Proportional to 33,097.24, 49,645.98 and 8,137.48

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Solution

The fourth proportional to 33,097.24, 49,645.98 and 8,137.48 is: 12,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.24 : 49,645.98 = 8,137.48 : x
  2. Step 2: Convert to fraction form
    33,097.24/49,645.98 = 8,137.48/x
  3. Step 3: Cross multiply
    33,097.24x = 49,645.98 × 8,137.48
  4. Step 4: Simplify right side
    33,097.24x = 403,993,169.33
  5. Step 5: Solve for x
    x = 403,993,169.33/33,097.24
  6. Step 6: Final answer
    x = 12,206.25

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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.