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Finding the Fourth Proportional to 36,247.48, 50,024.25 and 20,117.83

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Solution

The fourth proportional to 36,247.48, 50,024.25 and 20,117.83 is: 27,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,247.48 : 50,024.25 = 20,117.83 : x
  2. Step 2: Convert to fraction form
    36,247.48/50,024.25 = 20,117.83/x
  3. Step 3: Cross multiply
    36,247.48x = 50,024.25 × 20,117.83
  4. Step 4: Simplify right side
    36,247.48x = 1,006,379,357.38
  5. Step 5: Solve for x
    x = 1,006,379,357.38/36,247.48
  6. Step 6: Final answer
    x = 27,764.12

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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.