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Finding the Fourth Proportional to 27,463.38, 37,862.80 and 21,816.87

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Solution

The fourth proportional to 27,463.38, 37,862.80 and 21,816.87 is: 30,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,463.38 : 37,862.80 = 21,816.87 : x
  2. Step 2: Convert to fraction form
    27,463.38/37,862.80 = 21,816.87/x
  3. Step 3: Cross multiply
    27,463.38x = 37,862.80 × 21,816.87
  4. Step 4: Simplify right side
    27,463.38x = 826,047,785.44
  5. Step 5: Solve for x
    x = 826,047,785.44/27,463.38
  6. Step 6: Final answer
    x = 30,078.15

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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.