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Finding the Fourth Proportional to 31,729.62, 47,594.25 and 8,037.12

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Solution

The fourth proportional to 31,729.62, 47,594.25 and 8,037.12 is: 12,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729.62 : 47,594.25 = 8,037.12 : x
  2. Step 2: Convert to fraction form
    31,729.62/47,594.25 = 8,037.12/x
  3. Step 3: Cross multiply
    31,729.62x = 47,594.25 × 8,037.12
  4. Step 4: Simplify right side
    31,729.62x = 382,520,698.56
  5. Step 5: Solve for x
    x = 382,520,698.56/31,729.62
  6. Step 6: Final answer
    x = 12,055.63

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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.