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Finding the Fourth Proportional to 33,062.52, 49,594.04 and 12,286

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Solution

The fourth proportional to 33,062.52, 49,594.04 and 12,286 is: 18,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,062.52 : 49,594.04 = 12,286 : x
  2. Step 2: Convert to fraction form
    33,062.52/49,594.04 = 12,286/x
  3. Step 3: Cross multiply
    33,062.52x = 49,594.04 × 12,286
  4. Step 4: Simplify right side
    33,062.52x = 609,312,375.44
  5. Step 5: Solve for x
    x = 609,312,375.44/33,062.52
  6. Step 6: Final answer
    x = 18,429.10

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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.