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Finding the Fourth Proportional to 67,164.49, 100,552.20 and 50,594.32

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Solution

The fourth proportional to 67,164.49, 100,552.20 and 50,594.32 is: 75,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,164.49 : 100,552.20 = 50,594.32 : x
  2. Step 2: Convert to fraction form
    67,164.49/100,552.20 = 50,594.32/x
  3. Step 3: Cross multiply
    67,164.49x = 100,552.20 × 50,594.32
  4. Step 4: Simplify right side
    67,164.49x = 5,087,370,183.50
  5. Step 5: Solve for x
    x = 5,087,370,183.50/67,164.49
  6. Step 6: Final answer
    x = 75,744.94

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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.