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Finding the Fourth Proportional to 36,784, 50,761.92 and 20,017

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Solution

The fourth proportional to 36,784, 50,761.92 and 20,017 is: 27,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784 : 50,761.92 = 20,017 : x
  2. Step 2: Convert to fraction form
    36,784/50,761.92 = 20,017/x
  3. Step 3: Cross multiply
    36,784x = 50,761.92 × 20,017
  4. Step 4: Simplify right side
    36,784x = 1,016,101,352.64
  5. Step 5: Solve for x
    x = 1,016,101,352.64/36,784
  6. Step 6: Final answer
    x = 27,623.46

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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.