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Finding the Fourth Proportional to 32,982.48, 49,473 and 8,022.64

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Solution

The fourth proportional to 32,982.48, 49,473 and 8,022.64 is: 12,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.48 : 49,473 = 8,022.64 : x
  2. Step 2: Convert to fraction form
    32,982.48/49,473 = 8,022.64/x
  3. Step 3: Cross multiply
    32,982.48x = 49,473 × 8,022.64
  4. Step 4: Simplify right side
    32,982.48x = 396,904,068.72
  5. Step 5: Solve for x
    x = 396,904,068.72/32,982.48
  6. Step 6: Final answer
    x = 12,033.78

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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.