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Finding the Fourth Proportional to 80,596.56, 120,813.84 and 30,663.84

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Solution

The fourth proportional to 80,596.56, 120,813.84 and 30,663.84 is: 45,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,596.56 : 120,813.84 = 30,663.84 : x
  2. Step 2: Convert to fraction form
    80,596.56/120,813.84 = 30,663.84/x
  3. Step 3: Cross multiply
    80,596.56x = 120,813.84 × 30,663.84
  4. Step 4: Simplify right side
    80,596.56x = 3,704,616,259.55
  5. Step 5: Solve for x
    x = 3,704,616,259.55/80,596.56
  6. Step 6: Final answer
    x = 45,964.94

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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.