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Finding the Fourth Proportional to 38,414.39, 57,632.45 and 27,894.92

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Solution

The fourth proportional to 38,414.39, 57,632.45 and 27,894.92 is: 41,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.39 : 57,632.45 = 27,894.92 : x
  2. Step 2: Convert to fraction form
    38,414.39/57,632.45 = 27,894.92/x
  3. Step 3: Cross multiply
    38,414.39x = 57,632.45 × 27,894.92
  4. Step 4: Simplify right side
    38,414.39x = 1,607,652,154.52
  5. Step 5: Solve for x
    x = 1,607,652,154.52/38,414.39
  6. Step 6: Final answer
    x = 41,850.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.