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Finding the Fourth Proportional to 33,282.28, 45,948 and 22,687.48

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Solution

The fourth proportional to 33,282.28, 45,948 and 22,687.48 is: 31,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,282.28 : 45,948 = 22,687.48 : x
  2. Step 2: Convert to fraction form
    33,282.28/45,948 = 22,687.48/x
  3. Step 3: Cross multiply
    33,282.28x = 45,948 × 22,687.48
  4. Step 4: Simplify right side
    33,282.28x = 1,042,444,331.04
  5. Step 5: Solve for x
    x = 1,042,444,331.04/33,282.28
  6. Step 6: Final answer
    x = 31,321.30

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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.