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Finding the Fourth Proportional to 33,774.31, 50,662.50 and 11,587.38

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Solution

The fourth proportional to 33,774.31, 50,662.50 and 11,587.38 is: 17,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.31 : 50,662.50 = 11,587.38 : x
  2. Step 2: Convert to fraction form
    33,774.31/50,662.50 = 11,587.38/x
  3. Step 3: Cross multiply
    33,774.31x = 50,662.50 × 11,587.38
  4. Step 4: Simplify right side
    33,774.31x = 587,045,405.81
  5. Step 5: Solve for x
    x = 587,045,405.81/33,774.31
  6. Step 6: Final answer
    x = 17,381.42

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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.