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Finding the Fourth Proportional to 33,771, 50,656.44 and 11,590.80

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Solution

The fourth proportional to 33,771, 50,656.44 and 11,590.80 is: 17,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,771 : 50,656.44 = 11,590.80 : x
  2. Step 2: Convert to fraction form
    33,771/50,656.44 = 11,590.80/x
  3. Step 3: Cross multiply
    33,771x = 50,656.44 × 11,590.80
  4. Step 4: Simplify right side
    33,771x = 587,148,664.75
  5. Step 5: Solve for x
    x = 587,148,664.75/33,771
  6. Step 6: Final answer
    x = 17,386.18

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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.