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Finding the Fourth Proportional to 110,057.72, 165,078.51 and 35,157.75

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Solution

The fourth proportional to 110,057.72, 165,078.51 and 35,157.75 is: 52,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,057.72 : 165,078.51 = 35,157.75 : x
  2. Step 2: Convert to fraction form
    110,057.72/165,078.51 = 35,157.75/x
  3. Step 3: Cross multiply
    110,057.72x = 165,078.51 × 35,157.75
  4. Step 4: Simplify right side
    110,057.72x = 5,803,789,604.00
  5. Step 5: Solve for x
    x = 5,803,789,604.00/110,057.72
  6. Step 6: Final answer
    x = 52,734.05

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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.