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Finding the Fourth Proportional to 54,178.21, 81,205.62 and 33,924.43

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Solution

The fourth proportional to 54,178.21, 81,205.62 and 33,924.43 is: 50,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178.21 : 81,205.62 = 33,924.43 : x
  2. Step 2: Convert to fraction form
    54,178.21/81,205.62 = 33,924.43/x
  3. Step 3: Cross multiply
    54,178.21x = 81,205.62 × 33,924.43
  4. Step 4: Simplify right side
    54,178.21x = 2,754,854,371.30
  5. Step 5: Solve for x
    x = 2,754,854,371.30/54,178.21
  6. Step 6: Final answer
    x = 50,848.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.