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Finding the Fourth Proportional to 33,238.35, 49,866.18 and 9,864.78

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Solution

The fourth proportional to 33,238.35, 49,866.18 and 9,864.78 is: 14,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.35 : 49,866.18 = 9,864.78 : x
  2. Step 2: Convert to fraction form
    33,238.35/49,866.18 = 9,864.78/x
  3. Step 3: Cross multiply
    33,238.35x = 49,866.18 × 9,864.78
  4. Step 4: Simplify right side
    33,238.35x = 491,918,845.82
  5. Step 5: Solve for x
    x = 491,918,845.82/33,238.35
  6. Step 6: Final answer
    x = 14,799.74

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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.