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Finding the Fourth Proportional to 33,689.36, 50,538.68 and 11,496.80

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Solution

The fourth proportional to 33,689.36, 50,538.68 and 11,496.80 is: 17,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689.36 : 50,538.68 = 11,496.80 : x
  2. Step 2: Convert to fraction form
    33,689.36/50,538.68 = 11,496.80/x
  3. Step 3: Cross multiply
    33,689.36x = 50,538.68 × 11,496.80
  4. Step 4: Simplify right side
    33,689.36x = 581,033,096.22
  5. Step 5: Solve for x
    x = 581,033,096.22/33,689.36
  6. Step 6: Final answer
    x = 17,246.78

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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.