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Finding the Fourth Proportional to 27,843.14, 41,671.94 and 22,270.34

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Solution

The fourth proportional to 27,843.14, 41,671.94 and 22,270.34 is: 33,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.14 : 41,671.94 = 22,270.34 : x
  2. Step 2: Convert to fraction form
    27,843.14/41,671.94 = 22,270.34/x
  3. Step 3: Cross multiply
    27,843.14x = 41,671.94 × 22,270.34
  4. Step 4: Simplify right side
    27,843.14x = 928,048,272.26
  5. Step 5: Solve for x
    x = 928,048,272.26/27,843.14
  6. Step 6: Final answer
    x = 33,331.31

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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.