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Finding the Fourth Proportional to 67,014, 100,512.90 and 22,033.08

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Solution

The fourth proportional to 67,014, 100,512.90 and 22,033.08 is: 33,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,014 : 100,512.90 = 22,033.08 : x
  2. Step 2: Convert to fraction form
    67,014/100,512.90 = 22,033.08/x
  3. Step 3: Cross multiply
    67,014x = 100,512.90 × 22,033.08
  4. Step 4: Simplify right side
    67,014x = 2,214,608,766.73
  5. Step 5: Solve for x
    x = 2,214,608,766.73/67,014
  6. Step 6: Final answer
    x = 33,046.96

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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.