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Finding the Fourth Proportional to 67,214.71, 100,884.30 and 33,958.18

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Solution

The fourth proportional to 67,214.71, 100,884.30 and 33,958.18 is: 50,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,214.71 : 100,884.30 = 33,958.18 : x
  2. Step 2: Convert to fraction form
    67,214.71/100,884.30 = 33,958.18/x
  3. Step 3: Cross multiply
    67,214.71x = 100,884.30 × 33,958.18
  4. Step 4: Simplify right side
    67,214.71x = 3,425,847,218.57
  5. Step 5: Solve for x
    x = 3,425,847,218.57/67,214.71
  6. Step 6: Final answer
    x = 50,968.71

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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.