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Finding the Fourth Proportional to 50,928, 76,422.72 and 21,744

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Solution

The fourth proportional to 50,928, 76,422.72 and 21,744 is: 32,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,928 : 76,422.72 = 21,744 : x
  2. Step 2: Convert to fraction form
    50,928/76,422.72 = 21,744/x
  3. Step 3: Cross multiply
    50,928x = 76,422.72 × 21,744
  4. Step 4: Simplify right side
    50,928x = 1,661,735,623.68
  5. Step 5: Solve for x
    x = 1,661,735,623.68/50,928
  6. Step 6: Final answer
    x = 32,629.12

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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.