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Finding the Fourth Proportional to 33,057, 49,563.96 and 11,993.12

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Solution

The fourth proportional to 33,057, 49,563.96 and 11,993.12 is: 17,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057 : 49,563.96 = 11,993.12 : x
  2. Step 2: Convert to fraction form
    33,057/49,563.96 = 11,993.12/x
  3. Step 3: Cross multiply
    33,057x = 49,563.96 × 11,993.12
  4. Step 4: Simplify right side
    33,057x = 594,426,519.96
  5. Step 5: Solve for x
    x = 594,426,519.96/33,057
  6. Step 6: Final answer
    x = 17,981.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.