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Finding the Fourth Proportional to 38,198.29, 52,712.82 and 21,201.54

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Solution

The fourth proportional to 38,198.29, 52,712.82 and 21,201.54 is: 29,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.29 : 52,712.82 = 21,201.54 : x
  2. Step 2: Convert to fraction form
    38,198.29/52,712.82 = 21,201.54/x
  3. Step 3: Cross multiply
    38,198.29x = 52,712.82 × 21,201.54
  4. Step 4: Simplify right side
    38,198.29x = 1,117,592,961.74
  5. Step 5: Solve for x
    x = 1,117,592,961.74/38,198.29
  6. Step 6: Final answer
    x = 29,257.67

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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.