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Finding the Fourth Proportional to 32,981.96, 49,472.24 and 8,022.14

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Solution

The fourth proportional to 32,981.96, 49,472.24 and 8,022.14 is: 12,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.96 : 49,472.24 = 8,022.14 : x
  2. Step 2: Convert to fraction form
    32,981.96/49,472.24 = 8,022.14/x
  3. Step 3: Cross multiply
    32,981.96x = 49,472.24 × 8,022.14
  4. Step 4: Simplify right side
    32,981.96x = 396,873,235.39
  5. Step 5: Solve for x
    x = 396,873,235.39/32,981.96
  6. Step 6: Final answer
    x = 12,033.04

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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.