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Finding the Fourth Proportional to 33,288.64, 49,932.96 and 8,328.69

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Solution

The fourth proportional to 33,288.64, 49,932.96 and 8,328.69 is: 12,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,288.64 : 49,932.96 = 8,328.69 : x
  2. Step 2: Convert to fraction form
    33,288.64/49,932.96 = 8,328.69/x
  3. Step 3: Cross multiply
    33,288.64x = 49,932.96 × 8,328.69
  4. Step 4: Simplify right side
    33,288.64x = 415,876,113.39
  5. Step 5: Solve for x
    x = 415,876,113.39/33,288.64
  6. Step 6: Final answer
    x = 12,493.04

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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.