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Finding the Fourth Proportional to 110,729, 166,093.50 and 35,911.74

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Solution

The fourth proportional to 110,729, 166,093.50 and 35,911.74 is: 53,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,729 : 166,093.50 = 35,911.74 : x
  2. Step 2: Convert to fraction form
    110,729/166,093.50 = 35,911.74/x
  3. Step 3: Cross multiply
    110,729x = 166,093.50 × 35,911.74
  4. Step 4: Simplify right side
    110,729x = 5,964,706,587.69
  5. Step 5: Solve for x
    x = 5,964,706,587.69/110,729
  6. Step 6: Final answer
    x = 53,867.61

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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.