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Finding the Fourth Proportional to 31,840.80, 47,761.20 and 8,469.60

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Solution

The fourth proportional to 31,840.80, 47,761.20 and 8,469.60 is: 12,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840.80 : 47,761.20 = 8,469.60 : x
  2. Step 2: Convert to fraction form
    31,840.80/47,761.20 = 8,469.60/x
  3. Step 3: Cross multiply
    31,840.80x = 47,761.20 × 8,469.60
  4. Step 4: Simplify right side
    31,840.80x = 404,518,259.52
  5. Step 5: Solve for x
    x = 404,518,259.52/31,840.80
  6. Step 6: Final answer
    x = 12,704.40

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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.