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Finding the Fourth Proportional to 80,182.44, 120,276.72 and 35,809.56

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Solution

The fourth proportional to 80,182.44, 120,276.72 and 35,809.56 is: 53,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,182.44 : 120,276.72 = 35,809.56 : x
  2. Step 2: Convert to fraction form
    80,182.44/120,276.72 = 35,809.56/x
  3. Step 3: Cross multiply
    80,182.44x = 120,276.72 × 35,809.56
  4. Step 4: Simplify right side
    80,182.44x = 4,307,056,421.44
  5. Step 5: Solve for x
    x = 4,307,056,421.44/80,182.44
  6. Step 6: Final answer
    x = 53,715.71

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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.