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Finding the Fourth Proportional to 66,828.41, 100,234.25 and 21,846

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Solution

The fourth proportional to 66,828.41, 100,234.25 and 21,846 is: 32,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,828.41 : 100,234.25 = 21,846 : x
  2. Step 2: Convert to fraction form
    66,828.41/100,234.25 = 21,846/x
  3. Step 3: Cross multiply
    66,828.41x = 100,234.25 × 21,846
  4. Step 4: Simplify right side
    66,828.41x = 2,189,717,425.50
  5. Step 5: Solve for x
    x = 2,189,717,425.50/66,828.41
  6. Step 6: Final answer
    x = 32,766.27

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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.