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Finding the Fourth Proportional to 61,286.40, 91,938.24 and 19,728

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Solution

The fourth proportional to 61,286.40, 91,938.24 and 19,728 is: 29,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,286.40 : 91,938.24 = 19,728 : x
  2. Step 2: Convert to fraction form
    61,286.40/91,938.24 = 19,728/x
  3. Step 3: Cross multiply
    61,286.40x = 91,938.24 × 19,728
  4. Step 4: Simplify right side
    61,286.40x = 1,813,757,598.72
  5. Step 5: Solve for x
    x = 1,813,757,598.72/61,286.40
  6. Step 6: Final answer
    x = 29,594.78

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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.