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Finding the Fourth Proportional to 49,324.72, 68,074.78 and 27,818.88

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Solution

The fourth proportional to 49,324.72, 68,074.78 and 27,818.88 is: 38,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324.72 : 68,074.78 = 27,818.88 : x
  2. Step 2: Convert to fraction form
    49,324.72/68,074.78 = 27,818.88/x
  3. Step 3: Cross multiply
    49,324.72x = 68,074.78 × 27,818.88
  4. Step 4: Simplify right side
    49,324.72x = 1,893,764,246.10
  5. Step 5: Solve for x
    x = 1,893,764,246.10/49,324.72
  6. Step 6: Final answer
    x = 38,393.82

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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.