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Finding the Fourth Proportional to 33,654.80, 50,467.44 and 11,462.06

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Solution

The fourth proportional to 33,654.80, 50,467.44 and 11,462.06 is: 17,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,654.80 : 50,467.44 = 11,462.06 : x
  2. Step 2: Convert to fraction form
    33,654.80/50,467.44 = 11,462.06/x
  3. Step 3: Cross multiply
    33,654.80x = 50,467.44 × 11,462.06
  4. Step 4: Simplify right side
    33,654.80x = 578,460,825.33
  5. Step 5: Solve for x
    x = 578,460,825.33/33,654.80
  6. Step 6: Final answer
    x = 17,188.06

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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.