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Finding the Fourth Proportional to 36,161.64, 49,894.38 and 20,243.52

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Solution

The fourth proportional to 36,161.64, 49,894.38 and 20,243.52 is: 27,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,161.64 : 49,894.38 = 20,243.52 : x
  2. Step 2: Convert to fraction form
    36,161.64/49,894.38 = 20,243.52/x
  3. Step 3: Cross multiply
    36,161.64x = 49,894.38 × 20,243.52
  4. Step 4: Simplify right side
    36,161.64x = 1,010,037,879.42
  5. Step 5: Solve for x
    x = 1,010,037,879.42/36,161.64
  6. Step 6: Final answer
    x = 27,931.20

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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.