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Finding the Fourth Proportional to 41,912.76, 57,863.52 and 27,784.74

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Solution

The fourth proportional to 41,912.76, 57,863.52 and 27,784.74 is: 38,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,912.76 : 57,863.52 = 27,784.74 : x
  2. Step 2: Convert to fraction form
    41,912.76/57,863.52 = 27,784.74/x
  3. Step 3: Cross multiply
    41,912.76x = 57,863.52 × 27,784.74
  4. Step 4: Simplify right side
    41,912.76x = 1,607,722,858.68
  5. Step 5: Solve for x
    x = 1,607,722,858.68/41,912.76
  6. Step 6: Final answer
    x = 38,358.79

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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.