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Finding the Fourth Proportional to 33,967.26, 46,867.38 and 20,538.30

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Solution

The fourth proportional to 33,967.26, 46,867.38 and 20,538.30 is: 28,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,967.26 : 46,867.38 = 20,538.30 : x
  2. Step 2: Convert to fraction form
    33,967.26/46,867.38 = 20,538.30/x
  3. Step 3: Cross multiply
    33,967.26x = 46,867.38 × 20,538.30
  4. Step 4: Simplify right side
    33,967.26x = 962,576,310.65
  5. Step 5: Solve for x
    x = 962,576,310.65/33,967.26
  6. Step 6: Final answer
    x = 28,338.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.