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Finding the Fourth Proportional to 33,671.50, 50,514.54 and 12,895

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Solution

The fourth proportional to 33,671.50, 50,514.54 and 12,895 is: 19,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,671.50 : 50,514.54 = 12,895 : x
  2. Step 2: Convert to fraction form
    33,671.50/50,514.54 = 12,895/x
  3. Step 3: Cross multiply
    33,671.50x = 50,514.54 × 12,895
  4. Step 4: Simplify right side
    33,671.50x = 651,384,993.30
  5. Step 5: Solve for x
    x = 651,384,993.30/33,671.50
  6. Step 6: Final answer
    x = 19,345.29

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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.