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Finding the Fourth Proportional to 80,464.34, 120,697.37 and 24,304.92

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Solution

The fourth proportional to 80,464.34, 120,697.37 and 24,304.92 is: 36,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464.34 : 120,697.37 = 24,304.92 : x
  2. Step 2: Convert to fraction form
    80,464.34/120,697.37 = 24,304.92/x
  3. Step 3: Cross multiply
    80,464.34x = 120,697.37 × 24,304.92
  4. Step 4: Simplify right side
    80,464.34x = 2,933,539,922.06
  5. Step 5: Solve for x
    x = 2,933,539,922.06/80,464.34
  6. Step 6: Final answer
    x = 36,457.64

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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.