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Finding the Fourth Proportional to 83,676.10, 125,514.15 and 50,433.70

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Solution

The fourth proportional to 83,676.10, 125,514.15 and 50,433.70 is: 75,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,676.10 : 125,514.15 = 50,433.70 : x
  2. Step 2: Convert to fraction form
    83,676.10/125,514.15 = 50,433.70/x
  3. Step 3: Cross multiply
    83,676.10x = 125,514.15 × 50,433.70
  4. Step 4: Simplify right side
    83,676.10x = 6,330,142,986.86
  5. Step 5: Solve for x
    x = 6,330,142,986.86/83,676.10
  6. Step 6: Final answer
    x = 75,650.55

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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.