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Finding the Fourth Proportional to 80,651.64, 120,969.63 and 24,492.23

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Solution

The fourth proportional to 80,651.64, 120,969.63 and 24,492.23 is: 36,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,651.64 : 120,969.63 = 24,492.23 : x
  2. Step 2: Convert to fraction form
    80,651.64/120,969.63 = 24,492.23/x
  3. Step 3: Cross multiply
    80,651.64x = 120,969.63 × 24,492.23
  4. Step 4: Simplify right side
    80,651.64x = 2,962,816,000.97
  5. Step 5: Solve for x
    x = 2,962,816,000.97/80,651.64
  6. Step 6: Final answer
    x = 36,735.97

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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.