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Finding the Fourth Proportional to 50,846, 70,079.85 and 33,819.80

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Solution

The fourth proportional to 50,846, 70,079.85 and 33,819.80 is: 46,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846 : 70,079.85 = 33,819.80 : x
  2. Step 2: Convert to fraction form
    50,846/70,079.85 = 33,819.80/x
  3. Step 3: Cross multiply
    50,846x = 70,079.85 × 33,819.80
  4. Step 4: Simplify right side
    50,846x = 2,370,086,341.93
  5. Step 5: Solve for x
    x = 2,370,086,341.93/50,846
  6. Step 6: Final answer
    x = 46,613.03

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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.