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Finding the Fourth Proportional to 41,238.71, 56,874.31 and 27,792.30

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Solution

The fourth proportional to 41,238.71, 56,874.31 and 27,792.30 is: 38,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,238.71 : 56,874.31 = 27,792.30 : x
  2. Step 2: Convert to fraction form
    41,238.71/56,874.31 = 27,792.30/x
  3. Step 3: Cross multiply
    41,238.71x = 56,874.31 × 27,792.30
  4. Step 4: Simplify right side
    41,238.71x = 1,580,667,885.81
  5. Step 5: Solve for x
    x = 1,580,667,885.81/41,238.71
  6. Step 6: Final answer
    x = 38,329.71

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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.