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Finding the Fourth Proportional to 33,238.77, 49,858.17 and 9,865

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Solution

The fourth proportional to 33,238.77, 49,858.17 and 9,865 is: 14,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.77 : 49,858.17 = 9,865 : x
  2. Step 2: Convert to fraction form
    33,238.77/49,858.17 = 9,865/x
  3. Step 3: Cross multiply
    33,238.77x = 49,858.17 × 9,865
  4. Step 4: Simplify right side
    33,238.77x = 491,850,847.05
  5. Step 5: Solve for x
    x = 491,850,847.05/33,238.77
  6. Step 6: Final answer
    x = 14,797.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.