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Finding the Fourth Proportional to 33,644.88, 46,356.48 and 22,447.44

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Solution

The fourth proportional to 33,644.88, 46,356.48 and 22,447.44 is: 30,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644.88 : 46,356.48 = 22,447.44 : x
  2. Step 2: Convert to fraction form
    33,644.88/46,356.48 = 22,447.44/x
  3. Step 3: Cross multiply
    33,644.88x = 46,356.48 × 22,447.44
  4. Step 4: Simplify right side
    33,644.88x = 1,040,584,303.41
  5. Step 5: Solve for x
    x = 1,040,584,303.41/33,644.88
  6. Step 6: Final answer
    x = 30,928.46

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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.