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Finding the Fourth Proportional to 49,678, 68,520.92 and 32,676.88

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Solution

The fourth proportional to 49,678, 68,520.92 and 32,676.88 is: 45,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,678 : 68,520.92 = 32,676.88 : x
  2. Step 2: Convert to fraction form
    49,678/68,520.92 = 32,676.88/x
  3. Step 3: Cross multiply
    49,678x = 68,520.92 × 32,676.88
  4. Step 4: Simplify right side
    49,678x = 2,239,049,880.33
  5. Step 5: Solve for x
    x = 2,239,049,880.33/49,678
  6. Step 6: Final answer
    x = 45,071.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.