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Finding the Fourth Proportional to 33,057.57, 49,585.50 and 8,097.42

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Solution

The fourth proportional to 33,057.57, 49,585.50 and 8,097.42 is: 12,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.57 : 49,585.50 = 8,097.42 : x
  2. Step 2: Convert to fraction form
    33,057.57/49,585.50 = 8,097.42/x
  3. Step 3: Cross multiply
    33,057.57x = 49,585.50 × 8,097.42
  4. Step 4: Simplify right side
    33,057.57x = 401,514,619.41
  5. Step 5: Solve for x
    x = 401,514,619.41/33,057.57
  6. Step 6: Final answer
    x = 12,145.92

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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.