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Finding the Fourth Proportional to 33,566.31, 50,304.11 and 12,778.47

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Solution

The fourth proportional to 33,566.31, 50,304.11 and 12,778.47 is: 19,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566.31 : 50,304.11 = 12,778.47 : x
  2. Step 2: Convert to fraction form
    33,566.31/50,304.11 = 12,778.47/x
  3. Step 3: Cross multiply
    33,566.31x = 50,304.11 × 12,778.47
  4. Step 4: Simplify right side
    33,566.31x = 642,809,496.62
  5. Step 5: Solve for x
    x = 642,809,496.62/33,566.31
  6. Step 6: Final answer
    x = 19,150.44

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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.