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Finding the Fourth Proportional to 38,410.50, 57,615.75 and 9,226.50

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Solution

The fourth proportional to 38,410.50, 57,615.75 and 9,226.50 is: 13,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.50 : 57,615.75 = 9,226.50 : x
  2. Step 2: Convert to fraction form
    38,410.50/57,615.75 = 9,226.50/x
  3. Step 3: Cross multiply
    38,410.50x = 57,615.75 × 9,226.50
  4. Step 4: Simplify right side
    38,410.50x = 531,591,717.38
  5. Step 5: Solve for x
    x = 531,591,717.38/38,410.50
  6. Step 6: Final answer
    x = 13,839.75

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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.