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Finding the Fourth Proportional to 33,542.96, 50,343.24 and 16,003.76

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Solution

The fourth proportional to 33,542.96, 50,343.24 and 16,003.76 is: 24,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542.96 : 50,343.24 = 16,003.76 : x
  2. Step 2: Convert to fraction form
    33,542.96/50,343.24 = 16,003.76/x
  3. Step 3: Cross multiply
    33,542.96x = 50,343.24 × 16,003.76
  4. Step 4: Simplify right side
    33,542.96x = 805,681,130.58
  5. Step 5: Solve for x
    x = 805,681,130.58/33,542.96
  6. Step 6: Final answer
    x = 24,019.38

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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.