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Finding the Fourth Proportional to 55,163.86, 82,745.81 and 13,610.86

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Solution

The fourth proportional to 55,163.86, 82,745.81 and 13,610.86 is: 20,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,163.86 : 82,745.81 = 13,610.86 : x
  2. Step 2: Convert to fraction form
    55,163.86/82,745.81 = 13,610.86/x
  3. Step 3: Cross multiply
    55,163.86x = 82,745.81 × 13,610.86
  4. Step 4: Simplify right side
    55,163.86x = 1,126,241,635.50
  5. Step 5: Solve for x
    x = 1,126,241,635.50/55,163.86
  6. Step 6: Final answer
    x = 20,416.29

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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.