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Finding the Fourth Proportional to 31,839.87, 47,772.87 and 16,843.08

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Solution

The fourth proportional to 31,839.87, 47,772.87 and 16,843.08 is: 25,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.87 : 47,772.87 = 16,843.08 : x
  2. Step 2: Convert to fraction form
    31,839.87/47,772.87 = 16,843.08/x
  3. Step 3: Cross multiply
    31,839.87x = 47,772.87 × 16,843.08
  4. Step 4: Simplify right side
    31,839.87x = 804,642,271.24
  5. Step 5: Solve for x
    x = 804,642,271.24/31,839.87
  6. Step 6: Final answer
    x = 25,271.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.