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Finding the Fourth Proportional to 33,433.78, 46,137 and 20,012.44

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Solution

The fourth proportional to 33,433.78, 46,137 and 20,012.44 is: 27,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,433.78 : 46,137 = 20,012.44 : x
  2. Step 2: Convert to fraction form
    33,433.78/46,137 = 20,012.44/x
  3. Step 3: Cross multiply
    33,433.78x = 46,137 × 20,012.44
  4. Step 4: Simplify right side
    33,433.78x = 923,313,944.28
  5. Step 5: Solve for x
    x = 923,313,944.28/33,433.78
  6. Step 6: Final answer
    x = 27,616.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.