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Finding the Fourth Proportional to 38,462.84, 57,654.66 and 27,906.56

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Solution

The fourth proportional to 38,462.84, 57,654.66 and 27,906.56 is: 41,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.84 : 57,654.66 = 27,906.56 : x
  2. Step 2: Convert to fraction form
    38,462.84/57,654.66 = 27,906.56/x
  3. Step 3: Cross multiply
    38,462.84x = 57,654.66 × 27,906.56
  4. Step 4: Simplify right side
    38,462.84x = 1,608,943,228.57
  5. Step 5: Solve for x
    x = 1,608,943,228.57/38,462.84
  6. Step 6: Final answer
    x = 41,831.11

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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.