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Finding the Fourth Proportional to 32,268.56, 48,403.12 and 8,896.24

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Solution

The fourth proportional to 32,268.56, 48,403.12 and 8,896.24 is: 13,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,268.56 : 48,403.12 = 8,896.24 : x
  2. Step 2: Convert to fraction form
    32,268.56/48,403.12 = 8,896.24/x
  3. Step 3: Cross multiply
    32,268.56x = 48,403.12 × 8,896.24
  4. Step 4: Simplify right side
    32,268.56x = 430,605,772.27
  5. Step 5: Solve for x
    x = 430,605,772.27/32,268.56
  6. Step 6: Final answer
    x = 13,344.44

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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.