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Finding the Fourth Proportional to 57,229.50, 85,858.83 and 21,705.33

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Solution

The fourth proportional to 57,229.50, 85,858.83 and 21,705.33 is: 32,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,229.50 : 85,858.83 = 21,705.33 : x
  2. Step 2: Convert to fraction form
    57,229.50/85,858.83 = 21,705.33/x
  3. Step 3: Cross multiply
    57,229.50x = 85,858.83 × 21,705.33
  4. Step 4: Simplify right side
    57,229.50x = 1,863,594,238.56
  5. Step 5: Solve for x
    x = 1,863,594,238.56/57,229.50
  6. Step 6: Final answer
    x = 32,563.52

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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.