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Finding the Fourth Proportional to 33,590.06, 50,390.82 and 13,857.82

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Solution

The fourth proportional to 33,590.06, 50,390.82 and 13,857.82 is: 20,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590.06 : 50,390.82 = 13,857.82 : x
  2. Step 2: Convert to fraction form
    33,590.06/50,390.82 = 13,857.82/x
  3. Step 3: Cross multiply
    33,590.06x = 50,390.82 × 13,857.82
  4. Step 4: Simplify right side
    33,590.06x = 698,306,913.21
  5. Step 5: Solve for x
    x = 698,306,913.21/33,590.06
  6. Step 6: Final answer
    x = 20,789.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.