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Finding the Fourth Proportional to 49,832, 68,768.16 and 27,477.44

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Solution

The fourth proportional to 49,832, 68,768.16 and 27,477.44 is: 37,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,832 : 68,768.16 = 27,477.44 : x
  2. Step 2: Convert to fraction form
    49,832/68,768.16 = 27,477.44/x
  3. Step 3: Cross multiply
    49,832x = 68,768.16 × 27,477.44
  4. Step 4: Simplify right side
    49,832x = 1,889,572,990.31
  5. Step 5: Solve for x
    x = 1,889,572,990.31/49,832
  6. Step 6: Final answer
    x = 37,918.87

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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.