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Finding the Fourth Proportional to 33,856.78, 50,789.90 and 14,130.82

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Solution

The fourth proportional to 33,856.78, 50,789.90 and 14,130.82 is: 21,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856.78 : 50,789.90 = 14,130.82 : x
  2. Step 2: Convert to fraction form
    33,856.78/50,789.90 = 14,130.82/x
  3. Step 3: Cross multiply
    33,856.78x = 50,789.90 × 14,130.82
  4. Step 4: Simplify right side
    33,856.78x = 717,702,934.72
  5. Step 5: Solve for x
    x = 717,702,934.72/33,856.78
  6. Step 6: Final answer
    x = 21,198.20

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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.