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Finding the Fourth Proportional to 49,998.48, 68,997.32 and 27,642

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Solution

The fourth proportional to 49,998.48, 68,997.32 and 27,642 is: 38,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,998.48 : 68,997.32 = 27,642 : x
  2. Step 2: Convert to fraction form
    49,998.48/68,997.32 = 27,642/x
  3. Step 3: Cross multiply
    49,998.48x = 68,997.32 × 27,642
  4. Step 4: Simplify right side
    49,998.48x = 1,907,223,919.44
  5. Step 5: Solve for x
    x = 1,907,223,919.44/49,998.48
  6. Step 6: Final answer
    x = 38,145.64

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1.5x scale

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.