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Finding the Fourth Proportional to 49,494.74, 68,297.62 and 30,375.32

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Solution

The fourth proportional to 49,494.74, 68,297.62 and 30,375.32 is: 41,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,494.74 : 68,297.62 = 30,375.32 : x
  2. Step 2: Convert to fraction form
    49,494.74/68,297.62 = 30,375.32/x
  3. Step 3: Cross multiply
    49,494.74x = 68,297.62 × 30,375.32
  4. Step 4: Simplify right side
    49,494.74x = 2,074,561,702.27
  5. Step 5: Solve for x
    x = 2,074,561,702.27/49,494.74
  6. Step 6: Final answer
    x = 41,914.80

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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.