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Finding the Fourth Proportional to 49,096.56, 67,750.92 and 27,873

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Solution

The fourth proportional to 49,096.56, 67,750.92 and 27,873 is: 38,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,096.56 : 67,750.92 = 27,873 : x
  2. Step 2: Convert to fraction form
    49,096.56/67,750.92 = 27,873/x
  3. Step 3: Cross multiply
    49,096.56x = 67,750.92 × 27,873
  4. Step 4: Simplify right side
    49,096.56x = 1,888,421,393.16
  5. Step 5: Solve for x
    x = 1,888,421,393.16/49,096.56
  6. Step 6: Final answer
    x = 38,463.42

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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.