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Finding the Fourth Proportional to 40,380.56, 55,714 and 24,243.76

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Solution

The fourth proportional to 40,380.56, 55,714 and 24,243.76 is: 33,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380.56 : 55,714 = 24,243.76 : x
  2. Step 2: Convert to fraction form
    40,380.56/55,714 = 24,243.76/x
  3. Step 3: Cross multiply
    40,380.56x = 55,714 × 24,243.76
  4. Step 4: Simplify right side
    40,380.56x = 1,350,716,844.64
  5. Step 5: Solve for x
    x = 1,350,716,844.64/40,380.56
  6. Step 6: Final answer
    x = 33,449.68

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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.