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Finding the Fourth Proportional to 38,198.48, 52,713.10 and 21,201.73

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Solution

The fourth proportional to 38,198.48, 52,713.10 and 21,201.73 is: 29,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.48 : 52,713.10 = 21,201.73 : x
  2. Step 2: Convert to fraction form
    38,198.48/52,713.10 = 21,201.73/x
  3. Step 3: Cross multiply
    38,198.48x = 52,713.10 × 21,201.73
  4. Step 4: Simplify right side
    38,198.48x = 1,117,608,913.66
  5. Step 5: Solve for x
    x = 1,117,608,913.66/38,198.48
  6. Step 6: Final answer
    x = 29,257.94

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