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Finding the Fourth Proportional to 33,585.40, 50,380.92 and 10,212.04

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Solution

The fourth proportional to 33,585.40, 50,380.92 and 10,212.04 is: 15,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585.40 : 50,380.92 = 10,212.04 : x
  2. Step 2: Convert to fraction form
    33,585.40/50,380.92 = 10,212.04/x
  3. Step 3: Cross multiply
    33,585.40x = 50,380.92 × 10,212.04
  4. Step 4: Simplify right side
    33,585.40x = 514,491,970.28
  5. Step 5: Solve for x
    x = 514,491,970.28/33,585.40
  6. Step 6: Final answer
    x = 15,318.92

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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.