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Finding the Fourth Proportional to 35,980.33, 49,651.76 and 20,067.47

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Solution

The fourth proportional to 35,980.33, 49,651.76 and 20,067.47 is: 27,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.33 : 49,651.76 = 20,067.47 : x
  2. Step 2: Convert to fraction form
    35,980.33/49,651.76 = 20,067.47/x
  3. Step 3: Cross multiply
    35,980.33x = 49,651.76 × 20,067.47
  4. Step 4: Simplify right side
    35,980.33x = 996,385,103.91
  5. Step 5: Solve for x
    x = 996,385,103.91/35,980.33
  6. Step 6: Final answer
    x = 27,692.50

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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.