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Finding the Fourth Proportional to 110,523.66, 165,817.83 and 35,642.31

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Solution

The fourth proportional to 110,523.66, 165,817.83 and 35,642.31 is: 53,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,523.66 : 165,817.83 = 35,642.31 : x
  2. Step 2: Convert to fraction form
    110,523.66/165,817.83 = 35,642.31/x
  3. Step 3: Cross multiply
    110,523.66x = 165,817.83 × 35,642.31
  4. Step 4: Simplify right side
    110,523.66x = 5,910,130,500.39
  5. Step 5: Solve for x
    x = 5,910,130,500.39/110,523.66
  6. Step 6: Final answer
    x = 53,473.89

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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.