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Finding the Fourth Proportional to 33,584.57, 50,359.47 and 9,889.04

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Solution

The fourth proportional to 33,584.57, 50,359.47 and 9,889.04 is: 14,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.57 : 50,359.47 = 9,889.04 : x
  2. Step 2: Convert to fraction form
    33,584.57/50,359.47 = 9,889.04/x
  3. Step 3: Cross multiply
    33,584.57x = 50,359.47 × 9,889.04
  4. Step 4: Simplify right side
    33,584.57x = 498,006,674.38
  5. Step 5: Solve for x
    x = 498,006,674.38/33,584.57
  6. Step 6: Final answer
    x = 14,828.43

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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.