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Finding the Fourth Proportional to 33,253.14, 45,896.85 and 22,647

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Solution

The fourth proportional to 33,253.14, 45,896.85 and 22,647 is: 31,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,253.14 : 45,896.85 = 22,647 : x
  2. Step 2: Convert to fraction form
    33,253.14/45,896.85 = 22,647/x
  3. Step 3: Cross multiply
    33,253.14x = 45,896.85 × 22,647
  4. Step 4: Simplify right side
    33,253.14x = 1,039,425,961.95
  5. Step 5: Solve for x
    x = 1,039,425,961.95/33,253.14
  6. Step 6: Final answer
    x = 31,257.98

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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.