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Finding the Fourth Proportional to 33,538.96, 50,337.24 and 15,999.76

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Solution

The fourth proportional to 33,538.96, 50,337.24 and 15,999.76 is: 24,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.96 : 50,337.24 = 15,999.76 : x
  2. Step 2: Convert to fraction form
    33,538.96/50,337.24 = 15,999.76/x
  3. Step 3: Cross multiply
    33,538.96x = 50,337.24 × 15,999.76
  4. Step 4: Simplify right side
    33,538.96x = 805,383,759.06
  5. Step 5: Solve for x
    x = 805,383,759.06/33,538.96
  6. Step 6: Final answer
    x = 24,013.38

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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.