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Finding the Fourth Proportional to 73,711.96, 110,564.10 and 23,791.12

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Solution

The fourth proportional to 73,711.96, 110,564.10 and 23,791.12 is: 35,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,711.96 : 110,564.10 = 23,791.12 : x
  2. Step 2: Convert to fraction form
    73,711.96/110,564.10 = 23,791.12/x
  3. Step 3: Cross multiply
    73,711.96x = 110,564.10 × 23,791.12
  4. Step 4: Simplify right side
    73,711.96x = 2,630,443,770.79
  5. Step 5: Solve for x
    x = 2,630,443,770.79/73,711.96
  6. Step 6: Final answer
    x = 35,685.44

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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.