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Finding the Fourth Proportional to 57,204.56, 78,942.24 and 32,054.24

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Solution

The fourth proportional to 57,204.56, 78,942.24 and 32,054.24 is: 44,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204.56 : 78,942.24 = 32,054.24 : x
  2. Step 2: Convert to fraction form
    57,204.56/78,942.24 = 32,054.24/x
  3. Step 3: Cross multiply
    57,204.56x = 78,942.24 × 32,054.24
  4. Step 4: Simplify right side
    57,204.56x = 2,530,433,507.10
  5. Step 5: Solve for x
    x = 2,530,433,507.10/57,204.56
  6. Step 6: Final answer
    x = 44,234.82

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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.