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Finding the Fourth Proportional to 33,702.26, 50,505.22 and 24,747.33

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Solution

The fourth proportional to 33,702.26, 50,505.22 and 24,747.33 is: 37,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.26 : 50,505.22 = 24,747.33 : x
  2. Step 2: Convert to fraction form
    33,702.26/50,505.22 = 24,747.33/x
  3. Step 3: Cross multiply
    33,702.26x = 50,505.22 × 24,747.33
  4. Step 4: Simplify right side
    33,702.26x = 1,249,869,346.06
  5. Step 5: Solve for x
    x = 1,249,869,346.06/33,702.26
  6. Step 6: Final answer
    x = 37,085.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.