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Finding the Fourth Proportional to 38,325.50, 57,481.49 and 11,665.07

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Solution

The fourth proportional to 38,325.50, 57,481.49 and 11,665.07 is: 17,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,325.50 : 57,481.49 = 11,665.07 : x
  2. Step 2: Convert to fraction form
    38,325.50/57,481.49 = 11,665.07/x
  3. Step 3: Cross multiply
    38,325.50x = 57,481.49 × 11,665.07
  4. Step 4: Simplify right side
    38,325.50x = 670,525,258.82
  5. Step 5: Solve for x
    x = 670,525,258.82/38,325.50
  6. Step 6: Final answer
    x = 17,495.54

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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.