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Finding the Fourth Proportional to 31,716.80, 47,575.20 and 16,164.80

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Solution

The fourth proportional to 31,716.80, 47,575.20 and 16,164.80 is: 24,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.80 : 47,575.20 = 16,164.80 : x
  2. Step 2: Convert to fraction form
    31,716.80/47,575.20 = 16,164.80/x
  3. Step 3: Cross multiply
    31,716.80x = 47,575.20 × 16,164.80
  4. Step 4: Simplify right side
    31,716.80x = 769,043,592.96
  5. Step 5: Solve for x
    x = 769,043,592.96/31,716.80
  6. Step 6: Final answer
    x = 24,247.20

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1.5x scale

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.