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Finding the Fourth Proportional to 31,791.17, 47,694.02 and 13,782.42

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Solution

The fourth proportional to 31,791.17, 47,694.02 and 13,782.42 is: 20,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.17 : 47,694.02 = 13,782.42 : x
  2. Step 2: Convert to fraction form
    31,791.17/47,694.02 = 13,782.42/x
  3. Step 3: Cross multiply
    31,791.17x = 47,694.02 × 13,782.42
  4. Step 4: Simplify right side
    31,791.17x = 657,338,946.22
  5. Step 5: Solve for x
    x = 657,338,946.22/31,791.17
  6. Step 6: Final answer
    x = 20,676.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.