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Finding the Fourth Proportional to 110,431.77, 165,674.12 and 35,558.96

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Solution

The fourth proportional to 110,431.77, 165,674.12 and 35,558.96 is: 53,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,431.77 : 165,674.12 = 35,558.96 : x
  2. Step 2: Convert to fraction form
    110,431.77/165,674.12 = 35,558.96/x
  3. Step 3: Cross multiply
    110,431.77x = 165,674.12 × 35,558.96
  4. Step 4: Simplify right side
    110,431.77x = 5,891,198,399.95
  5. Step 5: Solve for x
    x = 5,891,198,399.95/110,431.77
  6. Step 6: Final answer
    x = 53,346.95

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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.