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Finding the Fourth Proportional to 33,602.44, 46,367.04 and 20,171.20

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Solution

The fourth proportional to 33,602.44, 46,367.04 and 20,171.20 is: 27,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,602.44 : 46,367.04 = 20,171.20 : x
  2. Step 2: Convert to fraction form
    33,602.44/46,367.04 = 20,171.20/x
  3. Step 3: Cross multiply
    33,602.44x = 46,367.04 × 20,171.20
  4. Step 4: Simplify right side
    33,602.44x = 935,278,837.25
  5. Step 5: Solve for x
    x = 935,278,837.25/33,602.44
  6. Step 6: Final answer
    x = 27,833.66

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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.