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Finding the Fourth Proportional to 51,408.78, 77,113.17 and 16,348.47

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Solution

The fourth proportional to 51,408.78, 77,113.17 and 16,348.47 is: 24,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408.78 : 77,113.17 = 16,348.47 : x
  2. Step 2: Convert to fraction form
    51,408.78/77,113.17 = 16,348.47/x
  3. Step 3: Cross multiply
    51,408.78x = 77,113.17 × 16,348.47
  4. Step 4: Simplify right side
    51,408.78x = 1,260,682,346.35
  5. Step 5: Solve for x
    x = 1,260,682,346.35/51,408.78
  6. Step 6: Final answer
    x = 24,522.71

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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.