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Finding the Fourth Proportional to 38,234.41, 52,761.78 and 21,239.84

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Solution

The fourth proportional to 38,234.41, 52,761.78 and 21,239.84 is: 29,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.41 : 52,761.78 = 21,239.84 : x
  2. Step 2: Convert to fraction form
    38,234.41/52,761.78 = 21,239.84/x
  3. Step 3: Cross multiply
    38,234.41x = 52,761.78 × 21,239.84
  4. Step 4: Simplify right side
    38,234.41x = 1,120,651,600.43
  5. Step 5: Solve for x
    x = 1,120,651,600.43/38,234.41
  6. Step 6: Final answer
    x = 29,310.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.