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Finding the Fourth Proportional to 57,199.56, 78,935.34 and 32,049.24

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Solution

The fourth proportional to 57,199.56, 78,935.34 and 32,049.24 is: 44,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199.56 : 78,935.34 = 32,049.24 : x
  2. Step 2: Convert to fraction form
    57,199.56/78,935.34 = 32,049.24/x
  3. Step 3: Cross multiply
    57,199.56x = 78,935.34 × 32,049.24
  4. Step 4: Simplify right side
    57,199.56x = 2,529,817,656.14
  5. Step 5: Solve for x
    x = 2,529,817,656.14/57,199.56
  6. Step 6: Final answer
    x = 44,227.92

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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.