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Finding the Fourth Proportional to 32,971.24, 49,456.87 and 8,011.12

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Solution

The fourth proportional to 32,971.24, 49,456.87 and 8,011.12 is: 12,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.24 : 49,456.87 = 8,011.12 : x
  2. Step 2: Convert to fraction form
    32,971.24/49,456.87 = 8,011.12/x
  3. Step 3: Cross multiply
    32,971.24x = 49,456.87 × 8,011.12
  4. Step 4: Simplify right side
    32,971.24x = 396,204,920.39
  5. Step 5: Solve for x
    x = 396,204,920.39/32,971.24
  6. Step 6: Final answer
    x = 12,016.68

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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.