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Finding the Fourth Proportional to 80,592.78, 120,913.31 and 32,536.64

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Solution

The fourth proportional to 80,592.78, 120,913.31 and 32,536.64 is: 48,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,592.78 : 120,913.31 = 32,536.64 : x
  2. Step 2: Convert to fraction form
    80,592.78/120,913.31 = 32,536.64/x
  3. Step 3: Cross multiply
    80,592.78x = 120,913.31 × 32,536.64
  4. Step 4: Simplify right side
    80,592.78x = 3,934,112,838.68
  5. Step 5: Solve for x
    x = 3,934,112,838.68/80,592.78
  6. Step 6: Final answer
    x = 48,814.71

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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.