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Finding the Fourth Proportional to 34,193.69, 47,195.17 and 20,051.09

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Solution

The fourth proportional to 34,193.69, 47,195.17 and 20,051.09 is: 27,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.69 : 47,195.17 = 20,051.09 : x
  2. Step 2: Convert to fraction form
    34,193.69/47,195.17 = 20,051.09/x
  3. Step 3: Cross multiply
    34,193.69x = 47,195.17 × 20,051.09
  4. Step 4: Simplify right side
    34,193.69x = 946,314,500.98
  5. Step 5: Solve for x
    x = 946,314,500.98/34,193.69
  6. Step 6: Final answer
    x = 27,675.12

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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.