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Finding the Fourth Proportional to 36,785, 50,763.30 and 20,018

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Solution

The fourth proportional to 36,785, 50,763.30 and 20,018 is: 27,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,785 : 50,763.30 = 20,018 : x
  2. Step 2: Convert to fraction form
    36,785/50,763.30 = 20,018/x
  3. Step 3: Cross multiply
    36,785x = 50,763.30 × 20,018
  4. Step 4: Simplify right side
    36,785x = 1,016,179,739.40
  5. Step 5: Solve for x
    x = 1,016,179,739.40/36,785
  6. Step 6: Final answer
    x = 27,624.84

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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.