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Finding the Fourth Proportional to 38,195.53, 52,709.04 and 21,198.78

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Solution

The fourth proportional to 38,195.53, 52,709.04 and 21,198.78 is: 29,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195.53 : 52,709.04 = 21,198.78 : x
  2. Step 2: Convert to fraction form
    38,195.53/52,709.04 = 21,198.78/x
  3. Step 3: Cross multiply
    38,195.53x = 52,709.04 × 21,198.78
  4. Step 4: Simplify right side
    38,195.53x = 1,117,367,342.97
  5. Step 5: Solve for x
    x = 1,117,367,342.97/38,195.53
  6. Step 6: Final answer
    x = 29,253.88

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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.