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Finding the Fourth Proportional to 33,634.50, 46,367.12 and 23,531.64

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Solution

The fourth proportional to 33,634.50, 46,367.12 and 23,531.64 is: 32,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.50 : 46,367.12 = 23,531.64 : x
  2. Step 2: Convert to fraction form
    33,634.50/46,367.12 = 23,531.64/x
  3. Step 3: Cross multiply
    33,634.50x = 46,367.12 × 23,531.64
  4. Step 4: Simplify right side
    33,634.50x = 1,091,094,375.68
  5. Step 5: Solve for x
    x = 1,091,094,375.68/33,634.50
  6. Step 6: Final answer
    x = 32,439.74

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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.