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Finding the Fourth Proportional to 36,092.56, 49,807.56 and 20,177

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Solution

The fourth proportional to 36,092.56, 49,807.56 and 20,177 is: 27,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,092.56 : 49,807.56 = 20,177 : x
  2. Step 2: Convert to fraction form
    36,092.56/49,807.56 = 20,177/x
  3. Step 3: Cross multiply
    36,092.56x = 49,807.56 × 20,177
  4. Step 4: Simplify right side
    36,092.56x = 1,004,967,138.12
  5. Step 5: Solve for x
    x = 1,004,967,138.12/36,092.56
  6. Step 6: Final answer
    x = 27,844.16

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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.