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Finding the Fourth Proportional to 32,992.92, 49,489.36 and 8,032.96

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Solution

The fourth proportional to 32,992.92, 49,489.36 and 8,032.96 is: 12,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.92 : 49,489.36 = 8,032.96 : x
  2. Step 2: Convert to fraction form
    32,992.92/49,489.36 = 8,032.96/x
  3. Step 3: Cross multiply
    32,992.92x = 49,489.36 × 8,032.96
  4. Step 4: Simplify right side
    32,992.92x = 397,546,049.31
  5. Step 5: Solve for x
    x = 397,546,049.31/32,992.92
  6. Step 6: Final answer
    x = 12,049.44

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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.