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Finding the Fourth Proportional to 27,462.38, 37,861.43 and 21,815.87

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Solution

The fourth proportional to 27,462.38, 37,861.43 and 21,815.87 is: 30,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.38 : 37,861.43 = 21,815.87 : x
  2. Step 2: Convert to fraction form
    27,462.38/37,861.43 = 21,815.87/x
  3. Step 3: Cross multiply
    27,462.38x = 37,861.43 × 21,815.87
  4. Step 4: Simplify right side
    27,462.38x = 825,979,736.51
  5. Step 5: Solve for x
    x = 825,979,736.51/27,462.38
  6. Step 6: Final answer
    x = 30,076.78

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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.