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Finding the Fourth Proportional to 32,002.46, 47,997.92 and 8,623.44

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Solution

The fourth proportional to 32,002.46, 47,997.92 and 8,623.44 is: 12,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.46 : 47,997.92 = 8,623.44 : x
  2. Step 2: Convert to fraction form
    32,002.46/47,997.92 = 8,623.44/x
  3. Step 3: Cross multiply
    32,002.46x = 47,997.92 × 8,623.44
  4. Step 4: Simplify right side
    32,002.46x = 413,907,183.24
  5. Step 5: Solve for x
    x = 413,907,183.24/32,002.46
  6. Step 6: Final answer
    x = 12,933.61

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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.