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Finding the Fourth Proportional to 49,883.53, 68,840.72 and 27,223.98

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Solution

The fourth proportional to 49,883.53, 68,840.72 and 27,223.98 is: 37,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,883.53 : 68,840.72 = 27,223.98 : x
  2. Step 2: Convert to fraction form
    49,883.53/68,840.72 = 27,223.98/x
  3. Step 3: Cross multiply
    49,883.53x = 68,840.72 × 27,223.98
  4. Step 4: Simplify right side
    49,883.53x = 1,874,118,246.39
  5. Step 5: Solve for x
    x = 1,874,118,246.39/49,883.53
  6. Step 6: Final answer
    x = 37,569.88

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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.