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Finding the Fourth Proportional to 31,144.52, 42,964.49 and 20,384.65

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Solution

The fourth proportional to 31,144.52, 42,964.49 and 20,384.65 is: 28,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.52 : 42,964.49 = 20,384.65 : x
  2. Step 2: Convert to fraction form
    31,144.52/42,964.49 = 20,384.65/x
  3. Step 3: Cross multiply
    31,144.52x = 42,964.49 × 20,384.65
  4. Step 4: Simplify right side
    31,144.52x = 875,816,103.28
  5. Step 5: Solve for x
    x = 875,816,103.28/31,144.52
  6. Step 6: Final answer
    x = 28,121.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.