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Finding the Fourth Proportional to 32,107.92, 48,149.44 and 11,043.96

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Solution

The fourth proportional to 32,107.92, 48,149.44 and 11,043.96 is: 16,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.92 : 48,149.44 = 11,043.96 : x
  2. Step 2: Convert to fraction form
    32,107.92/48,149.44 = 11,043.96/x
  3. Step 3: Cross multiply
    32,107.92x = 48,149.44 × 11,043.96
  4. Step 4: Simplify right side
    32,107.92x = 531,760,489.38
  5. Step 5: Solve for x
    x = 531,760,489.38/32,107.92
  6. Step 6: Final answer
    x = 16,561.66

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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.