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Finding the Fourth Proportional to 49,765.94, 68,676.99 and 27,409.94

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Solution

The fourth proportional to 49,765.94, 68,676.99 and 27,409.94 is: 37,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,765.94 : 68,676.99 = 27,409.94 : x
  2. Step 2: Convert to fraction form
    49,765.94/68,676.99 = 27,409.94/x
  3. Step 3: Cross multiply
    49,765.94x = 68,676.99 × 27,409.94
  4. Step 4: Simplify right side
    49,765.94x = 1,882,432,175.28
  5. Step 5: Solve for x
    x = 1,882,432,175.28/49,765.94
  6. Step 6: Final answer
    x = 37,825.71

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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.