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Finding the Fourth Proportional to 49,780.21, 68,696.67 and 27,424.21

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Solution

The fourth proportional to 49,780.21, 68,696.67 and 27,424.21 is: 37,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,780.21 : 68,696.67 = 27,424.21 : x
  2. Step 2: Convert to fraction form
    49,780.21/68,696.67 = 27,424.21/x
  3. Step 3: Cross multiply
    49,780.21x = 68,696.67 × 27,424.21
  4. Step 4: Simplify right side
    49,780.21x = 1,883,951,904.38
  5. Step 5: Solve for x
    x = 1,883,951,904.38/49,780.21
  6. Step 6: Final answer
    x = 37,845.40

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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.