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Finding the Fourth Proportional to 36,821, 50,812.98 and 20,054

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Solution

The fourth proportional to 36,821, 50,812.98 and 20,054 is: 27,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,821 : 50,812.98 = 20,054 : x
  2. Step 2: Convert to fraction form
    36,821/50,812.98 = 20,054/x
  3. Step 3: Cross multiply
    36,821x = 50,812.98 × 20,054
  4. Step 4: Simplify right side
    36,821x = 1,019,003,500.92
  5. Step 5: Solve for x
    x = 1,019,003,500.92/36,821
  6. Step 6: Final answer
    x = 27,674.52

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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.