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Finding the Fourth Proportional to 67,164.30, 100,773.72 and 33,894

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Solution

The fourth proportional to 67,164.30, 100,773.72 and 33,894 is: 50,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164.30 : 100,773.72 = 33,894 : x
  2. Step 2: Convert to fraction form
    67,164.30/100,773.72 = 33,894/x
  3. Step 3: Cross multiply
    67,164.30x = 100,773.72 × 33,894
  4. Step 4: Simplify right side
    67,164.30x = 3,415,624,465.68
  5. Step 5: Solve for x
    x = 3,415,624,465.68/67,164.30
  6. Step 6: Final answer
    x = 50,854.76

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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.