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Finding the Fourth Proportional to 33,309.38, 49,964.16 and 9,935.30

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Solution

The fourth proportional to 33,309.38, 49,964.16 and 9,935.30 is: 14,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309.38 : 49,964.16 = 9,935.30 : x
  2. Step 2: Convert to fraction form
    33,309.38/49,964.16 = 9,935.30/x
  3. Step 3: Cross multiply
    33,309.38x = 49,964.16 × 9,935.30
  4. Step 4: Simplify right side
    33,309.38x = 496,408,918.85
  5. Step 5: Solve for x
    x = 496,408,918.85/33,309.38
  6. Step 6: Final answer
    x = 14,902.98

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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.