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Finding the Fourth Proportional to 110,727, 166,090.50 and 35,909.73

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Solution

The fourth proportional to 110,727, 166,090.50 and 35,909.73 is: 53,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,727 : 166,090.50 = 35,909.73 : x
  2. Step 2: Convert to fraction form
    110,727/166,090.50 = 35,909.73/x
  3. Step 3: Cross multiply
    110,727x = 166,090.50 × 35,909.73
  4. Step 4: Simplify right side
    110,727x = 5,964,265,010.57
  5. Step 5: Solve for x
    x = 5,964,265,010.57/110,727
  6. Step 6: Final answer
    x = 53,864.60

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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.