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Finding the Fourth Proportional to 33,721.80, 50,582.70 and 32,857.80

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Solution

The fourth proportional to 33,721.80, 50,582.70 and 32,857.80 is: 49,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,721.80 : 50,582.70 = 32,857.80 : x
  2. Step 2: Convert to fraction form
    33,721.80/50,582.70 = 32,857.80/x
  3. Step 3: Cross multiply
    33,721.80x = 50,582.70 × 32,857.80
  4. Step 4: Simplify right side
    33,721.80x = 1,662,036,240.06
  5. Step 5: Solve for x
    x = 1,662,036,240.06/33,721.80
  6. Step 6: Final answer
    x = 49,286.70

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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.