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Finding the Fourth Proportional to 49,735, 68,634.30 and 27,379

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Solution

The fourth proportional to 49,735, 68,634.30 and 27,379 is: 37,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735 : 68,634.30 = 27,379 : x
  2. Step 2: Convert to fraction form
    49,735/68,634.30 = 27,379/x
  3. Step 3: Cross multiply
    49,735x = 68,634.30 × 27,379
  4. Step 4: Simplify right side
    49,735x = 1,879,138,499.70
  5. Step 5: Solve for x
    x = 1,879,138,499.70/49,735
  6. Step 6: Final answer
    x = 37,783.02

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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.