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Finding the Fourth Proportional to 49,676.38, 68,553.69 and 27,015.64

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Solution

The fourth proportional to 49,676.38, 68,553.69 and 27,015.64 is: 37,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676.38 : 68,553.69 = 27,015.64 : x
  2. Step 2: Convert to fraction form
    49,676.38/68,553.69 = 27,015.64/x
  3. Step 3: Cross multiply
    49,676.38x = 68,553.69 × 27,015.64
  4. Step 4: Simplify right side
    49,676.38x = 1,852,021,809.71
  5. Step 5: Solve for x
    x = 1,852,021,809.71/49,676.38
  6. Step 6: Final answer
    x = 37,281.74

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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.