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Finding the Fourth Proportional to 80,678, 121,023.39 and 24,522.98

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Solution

The fourth proportional to 80,678, 121,023.39 and 24,522.98 is: 36,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,678 : 121,023.39 = 24,522.98 : x
  2. Step 2: Convert to fraction form
    80,678/121,023.39 = 24,522.98/x
  3. Step 3: Cross multiply
    80,678x = 121,023.39 × 24,522.98
  4. Step 4: Simplify right side
    80,678x = 2,967,854,172.50
  5. Step 5: Solve for x
    x = 2,967,854,172.50/80,678
  6. Step 6: Final answer
    x = 36,786.41

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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.