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Finding the Fourth Proportional to 32,971.46, 49,456.51 and 8,011.64

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Solution

The fourth proportional to 32,971.46, 49,456.51 and 8,011.64 is: 12,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.46 : 49,456.51 = 8,011.64 : x
  2. Step 2: Convert to fraction form
    32,971.46/49,456.51 = 8,011.64/x
  3. Step 3: Cross multiply
    32,971.46x = 49,456.51 × 8,011.64
  4. Step 4: Simplify right side
    32,971.46x = 396,227,857.39
  5. Step 5: Solve for x
    x = 396,227,857.39/32,971.46
  6. Step 6: Final answer
    x = 12,017.30

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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.