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Finding the Fourth Proportional to 33,257.54, 49,889.02 and 9,884

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Solution

The fourth proportional to 33,257.54, 49,889.02 and 9,884 is: 14,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,257.54 : 49,889.02 = 9,884 : x
  2. Step 2: Convert to fraction form
    33,257.54/49,889.02 = 9,884/x
  3. Step 3: Cross multiply
    33,257.54x = 49,889.02 × 9,884
  4. Step 4: Simplify right side
    33,257.54x = 493,103,073.68
  5. Step 5: Solve for x
    x = 493,103,073.68/33,257.54
  6. Step 6: Final answer
    x = 14,826.81

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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.