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Finding the Fourth Proportional to 76,464.88, 114,634.15 and 33,739.89

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Solution

The fourth proportional to 76,464.88, 114,634.15 and 33,739.89 is: 50,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.88 : 114,634.15 = 33,739.89 : x
  2. Step 2: Convert to fraction form
    76,464.88/114,634.15 = 33,739.89/x
  3. Step 3: Cross multiply
    76,464.88x = 114,634.15 × 33,739.89
  4. Step 4: Simplify right side
    76,464.88x = 3,867,743,611.24
  5. Step 5: Solve for x
    x = 3,867,743,611.24/76,464.88
  6. Step 6: Final answer
    x = 50,581.96

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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.