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Finding the Fourth Proportional to 75,241.44, 112,872.24 and 22,644

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Solution

The fourth proportional to 75,241.44, 112,872.24 and 22,644 is: 33,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,241.44 : 112,872.24 = 22,644 : x
  2. Step 2: Convert to fraction form
    75,241.44/112,872.24 = 22,644/x
  3. Step 3: Cross multiply
    75,241.44x = 112,872.24 × 22,644
  4. Step 4: Simplify right side
    75,241.44x = 2,555,879,002.56
  5. Step 5: Solve for x
    x = 2,555,879,002.56/75,241.44
  6. Step 6: Final answer
    x = 33,969.03

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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.