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Finding the Fourth Proportional to 110,027.16, 165,049.92 and 35,157.96

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Solution

The fourth proportional to 110,027.16, 165,049.92 and 35,157.96 is: 52,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,027.16 : 165,049.92 = 35,157.96 : x
  2. Step 2: Convert to fraction form
    110,027.16/165,049.92 = 35,157.96/x
  3. Step 3: Cross multiply
    110,027.16x = 165,049.92 × 35,157.96
  4. Step 4: Simplify right side
    110,027.16x = 5,802,818,485.36
  5. Step 5: Solve for x
    x = 5,802,818,485.36/110,027.16
  6. Step 6: Final answer
    x = 52,739.87

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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.