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Finding the Fourth Proportional to 33,585.94, 50,387.34 and 9,894.25

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Solution

The fourth proportional to 33,585.94, 50,387.34 and 9,894.25 is: 14,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585.94 : 50,387.34 = 9,894.25 : x
  2. Step 2: Convert to fraction form
    33,585.94/50,387.34 = 9,894.25/x
  3. Step 3: Cross multiply
    33,585.94x = 50,387.34 × 9,894.25
  4. Step 4: Simplify right side
    33,585.94x = 498,544,938.80
  5. Step 5: Solve for x
    x = 498,544,938.80/33,585.94
  6. Step 6: Final answer
    x = 14,843.86

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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.