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Finding the Fourth Proportional to 54,783.36, 81,984.96 and 33,714

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Solution

The fourth proportional to 54,783.36, 81,984.96 and 33,714 is: 50,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,783.36 : 81,984.96 = 33,714 : x
  2. Step 2: Convert to fraction form
    54,783.36/81,984.96 = 33,714/x
  3. Step 3: Cross multiply
    54,783.36x = 81,984.96 × 33,714
  4. Step 4: Simplify right side
    54,783.36x = 2,764,040,941.44
  5. Step 5: Solve for x
    x = 2,764,040,941.44/54,783.36
  6. Step 6: Final answer
    x = 50,454.02

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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.