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Finding the Fourth Proportional to 50,096, 69,137.52 and 27,740

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Solution

The fourth proportional to 50,096, 69,137.52 and 27,740 is: 38,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,096 : 69,137.52 = 27,740 : x
  2. Step 2: Convert to fraction form
    50,096/69,137.52 = 27,740/x
  3. Step 3: Cross multiply
    50,096x = 69,137.52 × 27,740
  4. Step 4: Simplify right side
    50,096x = 1,917,874,804.80
  5. Step 5: Solve for x
    x = 1,917,874,804.80/50,096
  6. Step 6: Final answer
    x = 38,283.99

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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.