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Finding the Fourth Proportional to 49,511.44, 74,286.60 and 21,790

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Solution

The fourth proportional to 49,511.44, 74,286.60 and 21,790 is: 32,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,511.44 : 74,286.60 = 21,790 : x
  2. Step 2: Convert to fraction form
    49,511.44/74,286.60 = 21,790/x
  3. Step 3: Cross multiply
    49,511.44x = 74,286.60 × 21,790
  4. Step 4: Simplify right side
    49,511.44x = 1,618,705,014.00
  5. Step 5: Solve for x
    x = 1,618,705,014.00/49,511.44
  6. Step 6: Final answer
    x = 32,693.56

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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.