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Finding the Fourth Proportional to 36,023.77, 49,723.36 and 20,923.22

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Solution

The fourth proportional to 36,023.77, 49,723.36 and 20,923.22 is: 28,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,023.77 : 49,723.36 = 20,923.22 : x
  2. Step 2: Convert to fraction form
    36,023.77/49,723.36 = 20,923.22/x
  3. Step 3: Cross multiply
    36,023.77x = 49,723.36 × 20,923.22
  4. Step 4: Simplify right side
    36,023.77x = 1,040,372,493.38
  5. Step 5: Solve for x
    x = 1,040,372,493.38/36,023.77
  6. Step 6: Final answer
    x = 28,880.17

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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.