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Finding the Fourth Proportional to 33,199.20, 49,827.15 and 13,491.90

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Solution

The fourth proportional to 33,199.20, 49,827.15 and 13,491.90 is: 20,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.20 : 49,827.15 = 13,491.90 : x
  2. Step 2: Convert to fraction form
    33,199.20/49,827.15 = 13,491.90/x
  3. Step 3: Cross multiply
    33,199.20x = 49,827.15 × 13,491.90
  4. Step 4: Simplify right side
    33,199.20x = 672,262,925.09
  5. Step 5: Solve for x
    x = 672,262,925.09/33,199.20
  6. Step 6: Final answer
    x = 20,249.37

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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.