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Finding the Fourth Proportional to 31,912.80, 47,782.80 and 25,000.80

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Solution

The fourth proportional to 31,912.80, 47,782.80 and 25,000.80 is: 37,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.80 : 47,782.80 = 25,000.80 : x
  2. Step 2: Convert to fraction form
    31,912.80/47,782.80 = 25,000.80/x
  3. Step 3: Cross multiply
    31,912.80x = 47,782.80 × 25,000.80
  4. Step 4: Simplify right side
    31,912.80x = 1,194,608,226.24
  5. Step 5: Solve for x
    x = 1,194,608,226.24/31,912.80
  6. Step 6: Final answer
    x = 37,433.51

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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.