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Finding the Fourth Proportional to 35,982.75, 49,658.16 and 20,067.13

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Solution

The fourth proportional to 35,982.75, 49,658.16 and 20,067.13 is: 27,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.75 : 49,658.16 = 20,067.13 : x
  2. Step 2: Convert to fraction form
    35,982.75/49,658.16 = 20,067.13/x
  3. Step 3: Cross multiply
    35,982.75x = 49,658.16 × 20,067.13
  4. Step 4: Simplify right side
    35,982.75x = 996,496,752.28
  5. Step 5: Solve for x
    x = 996,496,752.28/35,982.75
  6. Step 6: Final answer
    x = 27,693.74

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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.