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Finding the Fourth Proportional to 36,164.92, 49,907.46 and 20,249.32

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Solution

The fourth proportional to 36,164.92, 49,907.46 and 20,249.32 is: 27,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.92 : 49,907.46 = 20,249.32 : x
  2. Step 2: Convert to fraction form
    36,164.92/49,907.46 = 20,249.32/x
  3. Step 3: Cross multiply
    36,164.92x = 49,907.46 × 20,249.32
  4. Step 4: Simplify right side
    36,164.92x = 1,010,592,127.93
  5. Step 5: Solve for x
    x = 1,010,592,127.93/36,164.92
  6. Step 6: Final answer
    x = 27,943.99

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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.