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Finding the Fourth Proportional to 80,650.64, 120,968.13 and 24,491.23

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Solution

The fourth proportional to 80,650.64, 120,968.13 and 24,491.23 is: 36,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,650.64 : 120,968.13 = 24,491.23 : x
  2. Step 2: Convert to fraction form
    80,650.64/120,968.13 = 24,491.23/x
  3. Step 3: Cross multiply
    80,650.64x = 120,968.13 × 24,491.23
  4. Step 4: Simplify right side
    80,650.64x = 2,962,658,294.50
  5. Step 5: Solve for x
    x = 2,962,658,294.50/80,650.64
  6. Step 6: Final answer
    x = 36,734.47

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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.