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Finding the Fourth Proportional to 80,369.97, 120,527.24 and 32,971.68

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Solution

The fourth proportional to 80,369.97, 120,527.24 and 32,971.68 is: 49,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,369.97 : 120,527.24 = 32,971.68 : x
  2. Step 2: Convert to fraction form
    80,369.97/120,527.24 = 32,971.68/x
  3. Step 3: Cross multiply
    80,369.97x = 120,527.24 × 32,971.68
  4. Step 4: Simplify right side
    80,369.97x = 3,973,985,948.15
  5. Step 5: Solve for x
    x = 3,973,985,948.15/80,369.97
  6. Step 6: Final answer
    x = 49,446.15

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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.