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Finding the Fourth Proportional to 33,097.70, 49,646.12 and 8,137.97

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Solution

The fourth proportional to 33,097.70, 49,646.12 and 8,137.97 is: 12,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.70 : 49,646.12 = 8,137.97 : x
  2. Step 2: Convert to fraction form
    33,097.70/49,646.12 = 8,137.97/x
  3. Step 3: Cross multiply
    33,097.70x = 49,646.12 × 8,137.97
  4. Step 4: Simplify right side
    33,097.70x = 404,018,635.18
  5. Step 5: Solve for x
    x = 404,018,635.18/33,097.70
  6. Step 6: Final answer
    x = 12,206.85

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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.