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Finding the Fourth Proportional to 32,729.28, 49,093.92 and 8,105.28

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Solution

The fourth proportional to 32,729.28, 49,093.92 and 8,105.28 is: 12,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.28 : 49,093.92 = 8,105.28 : x
  2. Step 2: Convert to fraction form
    32,729.28/49,093.92 = 8,105.28/x
  3. Step 3: Cross multiply
    32,729.28x = 49,093.92 × 8,105.28
  4. Step 4: Simplify right side
    32,729.28x = 397,919,967.90
  5. Step 5: Solve for x
    x = 397,919,967.90/32,729.28
  6. Step 6: Final answer
    x = 12,157.92

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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.