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Finding the Fourth Proportional to 80,597.16, 120,882.24 and 21,433.68

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Solution

The fourth proportional to 80,597.16, 120,882.24 and 21,433.68 is: 32,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,597.16 : 120,882.24 = 21,433.68 : x
  2. Step 2: Convert to fraction form
    80,597.16/120,882.24 = 21,433.68/x
  3. Step 3: Cross multiply
    80,597.16x = 120,882.24 × 21,433.68
  4. Step 4: Simplify right side
    80,597.16x = 2,590,951,249.84
  5. Step 5: Solve for x
    x = 2,590,951,249.84/80,597.16
  6. Step 6: Final answer
    x = 32,146.93

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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.