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Finding the Fourth Proportional to 49,595.38, 68,416.21 and 31,671.49

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Solution

The fourth proportional to 49,595.38, 68,416.21 and 31,671.49 is: 43,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,595.38 : 68,416.21 = 31,671.49 : x
  2. Step 2: Convert to fraction form
    49,595.38/68,416.21 = 31,671.49/x
  3. Step 3: Cross multiply
    49,595.38x = 68,416.21 × 31,671.49
  4. Step 4: Simplify right side
    49,595.38x = 2,166,843,310.85
  5. Step 5: Solve for x
    x = 2,166,843,310.85/49,595.38
  6. Step 6: Final answer
    x = 43,690.43

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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.