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Finding the Fourth Proportional to 54,997.44, 82,496.16 and 23,832

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Solution

The fourth proportional to 54,997.44, 82,496.16 and 23,832 is: 35,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,997.44 : 82,496.16 = 23,832 : x
  2. Step 2: Convert to fraction form
    54,997.44/82,496.16 = 23,832/x
  3. Step 3: Cross multiply
    54,997.44x = 82,496.16 × 23,832
  4. Step 4: Simplify right side
    54,997.44x = 1,966,048,485.12
  5. Step 5: Solve for x
    x = 1,966,048,485.12/54,997.44
  6. Step 6: Final answer
    x = 35,748

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.