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Finding the Fourth Proportional to 67,241.88, 100,884.60 and 32,184

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Solution

The fourth proportional to 67,241.88, 100,884.60 and 32,184 is: 48,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,241.88 : 100,884.60 = 32,184 : x
  2. Step 2: Convert to fraction form
    67,241.88/100,884.60 = 32,184/x
  3. Step 3: Cross multiply
    67,241.88x = 100,884.60 × 32,184
  4. Step 4: Simplify right side
    67,241.88x = 3,246,869,966.40
  5. Step 5: Solve for x
    x = 3,246,869,966.40/67,241.88
  6. Step 6: Final answer
    x = 48,286.42

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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.