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Finding the Fourth Proportional to 36,791, 50,771.76 and 20,024

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Solution

The fourth proportional to 36,791, 50,771.76 and 20,024 is: 27,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,791 : 50,771.76 = 20,024 : x
  2. Step 2: Convert to fraction form
    36,791/50,771.76 = 20,024/x
  3. Step 3: Cross multiply
    36,791x = 50,771.76 × 20,024
  4. Step 4: Simplify right side
    36,791x = 1,016,653,722.24
  5. Step 5: Solve for x
    x = 1,016,653,722.24/36,791
  6. Step 6: Final answer
    x = 27,633.22

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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.