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Finding the Fourth Proportional to 40,382.56, 55,716.76 and 24,245.76

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Solution

The fourth proportional to 40,382.56, 55,716.76 and 24,245.76 is: 33,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382.56 : 55,716.76 = 24,245.76 : x
  2. Step 2: Convert to fraction form
    40,382.56/55,716.76 = 24,245.76/x
  3. Step 3: Cross multiply
    40,382.56x = 55,716.76 × 24,245.76
  4. Step 4: Simplify right side
    40,382.56x = 1,350,895,190.94
  5. Step 5: Solve for x
    x = 1,350,895,190.94/40,382.56
  6. Step 6: Final answer
    x = 33,452.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.