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Finding the Fourth Proportional to 33,538.26, 46,225.71 and 22,909.44

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Solution

The fourth proportional to 33,538.26, 46,225.71 and 22,909.44 is: 31,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.26 : 46,225.71 = 22,909.44 : x
  2. Step 2: Convert to fraction form
    33,538.26/46,225.71 = 22,909.44/x
  3. Step 3: Cross multiply
    33,538.26x = 46,225.71 × 22,909.44
  4. Step 4: Simplify right side
    33,538.26x = 1,059,005,129.70
  5. Step 5: Solve for x
    x = 1,059,005,129.70/33,538.26
  6. Step 6: Final answer
    x = 31,576.03

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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.