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Finding the Fourth Proportional to 36,797.60, 50,785.68 and 21,892

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Solution

The fourth proportional to 36,797.60, 50,785.68 and 21,892 is: 30,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,797.60 : 50,785.68 = 21,892 : x
  2. Step 2: Convert to fraction form
    36,797.60/50,785.68 = 21,892/x
  3. Step 3: Cross multiply
    36,797.60x = 50,785.68 × 21,892
  4. Step 4: Simplify right side
    36,797.60x = 1,111,800,106.56
  5. Step 5: Solve for x
    x = 1,111,800,106.56/36,797.60
  6. Step 6: Final answer
    x = 30,213.93

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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.