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Finding the Fourth Proportional to 33,702.48, 50,566.82 and 13,976

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Solution

The fourth proportional to 33,702.48, 50,566.82 and 13,976 is: 20,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.48 : 50,566.82 = 13,976 : x
  2. Step 2: Convert to fraction form
    33,702.48/50,566.82 = 13,976/x
  3. Step 3: Cross multiply
    33,702.48x = 50,566.82 × 13,976
  4. Step 4: Simplify right side
    33,702.48x = 706,721,876.32
  5. Step 5: Solve for x
    x = 706,721,876.32/33,702.48
  6. Step 6: Final answer
    x = 20,969.43

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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.