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Finding the Fourth Proportional to 33,225.90, 49,838.77 and 13,499.83

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Solution

The fourth proportional to 33,225.90, 49,838.77 and 13,499.83 is: 20,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,225.90 : 49,838.77 = 13,499.83 : x
  2. Step 2: Convert to fraction form
    33,225.90/49,838.77 = 13,499.83/x
  3. Step 3: Cross multiply
    33,225.90x = 49,838.77 × 13,499.83
  4. Step 4: Simplify right side
    33,225.90x = 672,814,922.41
  5. Step 5: Solve for x
    x = 672,814,922.41/33,225.90
  6. Step 6: Final answer
    x = 20,249.71

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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.