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Finding the Fourth Proportional to 33,409.31, 50,103.98 and 18,209.50

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Solution

The fourth proportional to 33,409.31, 50,103.98 and 18,209.50 is: 27,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.31 : 50,103.98 = 18,209.50 : x
  2. Step 2: Convert to fraction form
    33,409.31/50,103.98 = 18,209.50/x
  3. Step 3: Cross multiply
    33,409.31x = 50,103.98 × 18,209.50
  4. Step 4: Simplify right side
    33,409.31x = 912,368,207.50
  5. Step 5: Solve for x
    x = 912,368,207.50/33,409.31
  6. Step 6: Final answer
    x = 27,308.81

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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.