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Finding the Fourth Proportional to 66,778.58, 100,171.20 and 20,027

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Solution

The fourth proportional to 66,778.58, 100,171.20 and 20,027 is: 30,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,778.58 : 100,171.20 = 20,027 : x
  2. Step 2: Convert to fraction form
    66,778.58/100,171.20 = 20,027/x
  3. Step 3: Cross multiply
    66,778.58x = 100,171.20 × 20,027
  4. Step 4: Simplify right side
    66,778.58x = 2,006,128,622.40
  5. Step 5: Solve for x
    x = 2,006,128,622.40/66,778.58
  6. Step 6: Final answer
    x = 30,041.50

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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.