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Finding the Fourth Proportional to 49,333, 68,081.16 and 26,977

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Solution

The fourth proportional to 49,333, 68,081.16 and 26,977 is: 37,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,333 : 68,081.16 = 26,977 : x
  2. Step 2: Convert to fraction form
    49,333/68,081.16 = 26,977/x
  3. Step 3: Cross multiply
    49,333x = 68,081.16 × 26,977
  4. Step 4: Simplify right side
    49,333x = 1,836,625,453.32
  5. Step 5: Solve for x
    x = 1,836,625,453.32/49,333
  6. Step 6: Final answer
    x = 37,229.15

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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.