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Finding the Fourth Proportional to 33,238.38, 49,857.84 and 9,864.81

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Solution

The fourth proportional to 33,238.38, 49,857.84 and 9,864.81 is: 14,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.38 : 49,857.84 = 9,864.81 : x
  2. Step 2: Convert to fraction form
    33,238.38/49,857.84 = 9,864.81/x
  3. Step 3: Cross multiply
    33,238.38x = 49,857.84 × 9,864.81
  4. Step 4: Simplify right side
    33,238.38x = 491,838,118.61
  5. Step 5: Solve for x
    x = 491,838,118.61/33,238.38
  6. Step 6: Final answer
    x = 14,797.30

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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.