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Finding the Fourth Proportional to 33,774.36, 50,651 and 12,717.33

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Solution

The fourth proportional to 33,774.36, 50,651 and 12,717.33 is: 19,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.36 : 50,651 = 12,717.33 : x
  2. Step 2: Convert to fraction form
    33,774.36/50,651 = 12,717.33/x
  3. Step 3: Cross multiply
    33,774.36x = 50,651 × 12,717.33
  4. Step 4: Simplify right side
    33,774.36x = 644,145,228.58
  5. Step 5: Solve for x
    x = 644,145,228.58/33,774.36
  6. Step 6: Final answer
    x = 19,072.02

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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.