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Finding the Fourth Proportional to 32,107.20, 48,103.20 and 27,499.20

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Solution

The fourth proportional to 32,107.20, 48,103.20 and 27,499.20 is: 41,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.20 : 48,103.20 = 27,499.20 : x
  2. Step 2: Convert to fraction form
    32,107.20/48,103.20 = 27,499.20/x
  3. Step 3: Cross multiply
    32,107.20x = 48,103.20 × 27,499.20
  4. Step 4: Simplify right side
    32,107.20x = 1,322,799,517.44
  5. Step 5: Solve for x
    x = 1,322,799,517.44/32,107.20
  6. Step 6: Final answer
    x = 41,199.47

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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.