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Finding the Fourth Proportional to 36,799, 50,782.63 and 20,032

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Solution

The fourth proportional to 36,799, 50,782.63 and 20,032 is: 27,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,799 : 50,782.63 = 20,032 : x
  2. Step 2: Convert to fraction form
    36,799/50,782.63 = 20,032/x
  3. Step 3: Cross multiply
    36,799x = 50,782.63 × 20,032
  4. Step 4: Simplify right side
    36,799x = 1,017,277,644.16
  5. Step 5: Solve for x
    x = 1,017,277,644.16/36,799
  6. Step 6: Final answer
    x = 27,644.17

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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.