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Finding the Fourth Proportional to 38,057.08, 57,069.56 and 11,406.86

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Solution

The fourth proportional to 38,057.08, 57,069.56 and 11,406.86 is: 17,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.08 : 57,069.56 = 11,406.86 : x
  2. Step 2: Convert to fraction form
    38,057.08/57,069.56 = 11,406.86/x
  3. Step 3: Cross multiply
    38,057.08x = 57,069.56 × 11,406.86
  4. Step 4: Simplify right side
    38,057.08x = 650,984,481.18
  5. Step 5: Solve for x
    x = 650,984,481.18/38,057.08
  6. Step 6: Final answer
    x = 17,105.48

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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.