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Finding the Fourth Proportional to 110,135, 165,201.96 and 31,249.37

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Solution

The fourth proportional to 110,135, 165,201.96 and 31,249.37 is: 46,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,135 : 165,201.96 = 31,249.37 : x
  2. Step 2: Convert to fraction form
    110,135/165,201.96 = 31,249.37/x
  3. Step 3: Cross multiply
    110,135x = 165,201.96 × 31,249.37
  4. Step 4: Simplify right side
    110,135x = 5,162,457,172.77
  5. Step 5: Solve for x
    x = 5,162,457,172.77/110,135
  6. Step 6: Final answer
    x = 46,873.90

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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.