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Finding the Fourth Proportional to 32,992.65, 49,488.27 and 8,032.83

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Solution

The fourth proportional to 32,992.65, 49,488.27 and 8,032.83 is: 12,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.65 : 49,488.27 = 8,032.83 : x
  2. Step 2: Convert to fraction form
    32,992.65/49,488.27 = 8,032.83/x
  3. Step 3: Cross multiply
    32,992.65x = 49,488.27 × 8,032.83
  4. Step 4: Simplify right side
    32,992.65x = 397,530,859.90
  5. Step 5: Solve for x
    x = 397,530,859.90/32,992.65
  6. Step 6: Final answer
    x = 12,049.07

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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.