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Finding the Fourth Proportional to 33,049.98, 49,561.37 and 16,403.90

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Solution

The fourth proportional to 33,049.98, 49,561.37 and 16,403.90 is: 24,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.98 : 49,561.37 = 16,403.90 : x
  2. Step 2: Convert to fraction form
    33,049.98/49,561.37 = 16,403.90/x
  3. Step 3: Cross multiply
    33,049.98x = 49,561.37 × 16,403.90
  4. Step 4: Simplify right side
    33,049.98x = 812,999,757.34
  5. Step 5: Solve for x
    x = 812,999,757.34/33,049.98
  6. Step 6: Final answer
    x = 24,599.10

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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.