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Finding the Fourth Proportional to 38,004.50, 57,014.31 and 11,708.12

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Solution

The fourth proportional to 38,004.50, 57,014.31 and 11,708.12 is: 17,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.50 : 57,014.31 = 11,708.12 : x
  2. Step 2: Convert to fraction form
    38,004.50/57,014.31 = 11,708.12/x
  3. Step 3: Cross multiply
    38,004.50x = 57,014.31 × 11,708.12
  4. Step 4: Simplify right side
    38,004.50x = 667,530,383.20
  5. Step 5: Solve for x
    x = 667,530,383.20/38,004.50
  6. Step 6: Final answer
    x = 17,564.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.