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Finding the Fourth Proportional to 33,852.96, 50,782.84 and 11,663.44

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Solution

The fourth proportional to 33,852.96, 50,782.84 and 11,663.44 is: 17,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852.96 : 50,782.84 = 11,663.44 : x
  2. Step 2: Convert to fraction form
    33,852.96/50,782.84 = 11,663.44/x
  3. Step 3: Cross multiply
    33,852.96x = 50,782.84 × 11,663.44
  4. Step 4: Simplify right side
    33,852.96x = 592,302,607.37
  5. Step 5: Solve for x
    x = 592,302,607.37/33,852.96
  6. Step 6: Final answer
    x = 17,496.33

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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.