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Finding the Fourth Proportional to 80,586.34, 120,903.65 and 32,530.20

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Solution

The fourth proportional to 80,586.34, 120,903.65 and 32,530.20 is: 48,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,586.34 : 120,903.65 = 32,530.20 : x
  2. Step 2: Convert to fraction form
    80,586.34/120,903.65 = 32,530.20/x
  3. Step 3: Cross multiply
    80,586.34x = 120,903.65 × 32,530.20
  4. Step 4: Simplify right side
    80,586.34x = 3,933,019,996.56
  5. Step 5: Solve for x
    x = 3,933,019,996.56/80,586.34
  6. Step 6: Final answer
    x = 48,805.05

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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.