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Finding the Fourth Proportional to 33,305.14, 49,965.54 and 9,932.05

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Solution

The fourth proportional to 33,305.14, 49,965.54 and 9,932.05 is: 14,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,305.14 : 49,965.54 = 9,932.05 : x
  2. Step 2: Convert to fraction form
    33,305.14/49,965.54 = 9,932.05/x
  3. Step 3: Cross multiply
    33,305.14x = 49,965.54 × 9,932.05
  4. Step 4: Simplify right side
    33,305.14x = 496,259,942.07
  5. Step 5: Solve for x
    x = 496,259,942.07/33,305.14
  6. Step 6: Final answer
    x = 14,900.40

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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.