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Finding the Fourth Proportional to 49,407, 68,181.66 and 27,051

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Solution

The fourth proportional to 49,407, 68,181.66 and 27,051 is: 37,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,407 : 68,181.66 = 27,051 : x
  2. Step 2: Convert to fraction form
    49,407/68,181.66 = 27,051/x
  3. Step 3: Cross multiply
    49,407x = 68,181.66 × 27,051
  4. Step 4: Simplify right side
    49,407x = 1,844,382,084.66
  5. Step 5: Solve for x
    x = 1,844,382,084.66/49,407
  6. Step 6: Final answer
    x = 37,330.38

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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.