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Finding the Fourth Proportional to 33,236, 49,857.36 and 13,511.52

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Solution

The fourth proportional to 33,236, 49,857.36 and 13,511.52 is: 20,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,236 : 49,857.36 = 13,511.52 : x
  2. Step 2: Convert to fraction form
    33,236/49,857.36 = 13,511.52/x
  3. Step 3: Cross multiply
    33,236x = 49,857.36 × 13,511.52
  4. Step 4: Simplify right side
    33,236x = 673,648,716.79
  5. Step 5: Solve for x
    x = 673,648,716.79/33,236
  6. Step 6: Final answer
    x = 20,268.65

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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.