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Finding the Fourth Proportional to 66,834.82, 100,257.15 and 22,461.25

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Solution

The fourth proportional to 66,834.82, 100,257.15 and 22,461.25 is: 33,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834.82 : 100,257.15 = 22,461.25 : x
  2. Step 2: Convert to fraction form
    66,834.82/100,257.15 = 22,461.25/x
  3. Step 3: Cross multiply
    66,834.82x = 100,257.15 × 22,461.25
  4. Step 4: Simplify right side
    66,834.82x = 2,251,900,910.44
  5. Step 5: Solve for x
    x = 2,251,900,910.44/66,834.82
  6. Step 6: Final answer
    x = 33,693.53

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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.