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Finding the Fourth Proportional to 33,511.27, 46,231.41 and 20,078.23

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Solution

The fourth proportional to 33,511.27, 46,231.41 and 20,078.23 is: 27,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,511.27 : 46,231.41 = 20,078.23 : x
  2. Step 2: Convert to fraction form
    33,511.27/46,231.41 = 20,078.23/x
  3. Step 3: Cross multiply
    33,511.27x = 46,231.41 × 20,078.23
  4. Step 4: Simplify right side
    33,511.27x = 928,244,883.20
  5. Step 5: Solve for x
    x = 928,244,883.20/33,511.27
  6. Step 6: Final answer
    x = 27,699.48

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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.