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Finding the Fourth Proportional to 33,538.34, 50,318.04 and 13,826.18

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Solution

The fourth proportional to 33,538.34, 50,318.04 and 13,826.18 is: 20,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.34 : 50,318.04 = 13,826.18 : x
  2. Step 2: Convert to fraction form
    33,538.34/50,318.04 = 13,826.18/x
  3. Step 3: Cross multiply
    33,538.34x = 50,318.04 × 13,826.18
  4. Step 4: Simplify right side
    33,538.34x = 695,706,026.70
  5. Step 5: Solve for x
    x = 695,706,026.70/33,538.34
  6. Step 6: Final answer
    x = 20,743.61

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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.