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Finding the Fourth Proportional to 51,982.82, 71,736.34 and 30,468.28

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Solution

The fourth proportional to 51,982.82, 71,736.34 and 30,468.28 is: 42,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.82 : 71,736.34 = 30,468.28 : x
  2. Step 2: Convert to fraction form
    51,982.82/71,736.34 = 30,468.28/x
  3. Step 3: Cross multiply
    51,982.82x = 71,736.34 × 30,468.28
  4. Step 4: Simplify right side
    51,982.82x = 2,185,682,458.44
  5. Step 5: Solve for x
    x = 2,185,682,458.44/51,982.82
  6. Step 6: Final answer
    x = 42,046.25

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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.