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Finding the Fourth Proportional to 32,981.20, 49,471.81 and 8,021.09

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Solution

The fourth proportional to 32,981.20, 49,471.81 and 8,021.09 is: 12,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.20 : 49,471.81 = 8,021.09 : x
  2. Step 2: Convert to fraction form
    32,981.20/49,471.81 = 8,021.09/x
  3. Step 3: Cross multiply
    32,981.20x = 49,471.81 × 8,021.09
  4. Step 4: Simplify right side
    32,981.20x = 396,817,944.10
  5. Step 5: Solve for x
    x = 396,817,944.10/32,981.20
  6. Step 6: Final answer
    x = 12,031.64

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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.