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Finding the Fourth Proportional to 49,366, 68,125.08 and 27,010

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Solution

The fourth proportional to 49,366, 68,125.08 and 27,010 is: 37,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,366 : 68,125.08 = 27,010 : x
  2. Step 2: Convert to fraction form
    49,366/68,125.08 = 27,010/x
  3. Step 3: Cross multiply
    49,366x = 68,125.08 × 27,010
  4. Step 4: Simplify right side
    49,366x = 1,840,058,410.80
  5. Step 5: Solve for x
    x = 1,840,058,410.80/49,366
  6. Step 6: Final answer
    x = 37,273.80

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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.