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Finding the Fourth Proportional to 83,212.39, 114,819.82 and 47,403.10

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Solution

The fourth proportional to 83,212.39, 114,819.82 and 47,403.10 is: 65,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.39 : 114,819.82 = 47,403.10 : x
  2. Step 2: Convert to fraction form
    83,212.39/114,819.82 = 47,403.10/x
  3. Step 3: Cross multiply
    83,212.39x = 114,819.82 × 47,403.10
  4. Step 4: Simplify right side
    83,212.39x = 5,442,815,409.44
  5. Step 5: Solve for x
    x = 5,442,815,409.44/83,212.39
  6. Step 6: Final answer
    x = 65,408.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.