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Finding the Fourth Proportional to 34,198.51, 47,194.74 and 21,452.23

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Solution

The fourth proportional to 34,198.51, 47,194.74 and 21,452.23 is: 29,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198.51 : 47,194.74 = 21,452.23 : x
  2. Step 2: Convert to fraction form
    34,198.51/47,194.74 = 21,452.23/x
  3. Step 3: Cross multiply
    34,198.51x = 47,194.74 × 21,452.23
  4. Step 4: Simplify right side
    34,198.51x = 1,012,432,379.73
  5. Step 5: Solve for x
    x = 1,012,432,379.73/34,198.51
  6. Step 6: Final answer
    x = 29,604.58

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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.