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Finding the Fourth Proportional to 31,807.20, 47,710.80 and 16,222.80

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Solution

The fourth proportional to 31,807.20, 47,710.80 and 16,222.80 is: 24,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.20 : 47,710.80 = 16,222.80 : x
  2. Step 2: Convert to fraction form
    31,807.20/47,710.80 = 16,222.80/x
  3. Step 3: Cross multiply
    31,807.20x = 47,710.80 × 16,222.80
  4. Step 4: Simplify right side
    31,807.20x = 774,002,766.24
  5. Step 5: Solve for x
    x = 774,002,766.24/31,807.20
  6. Step 6: Final answer
    x = 24,334.20

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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.