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Finding the Fourth Proportional to 36,713, 50,664 and 19,946

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Solution

The fourth proportional to 36,713, 50,664 and 19,946 is: 27,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,713 : 50,664 = 19,946 : x
  2. Step 2: Convert to fraction form
    36,713/50,664 = 19,946/x
  3. Step 3: Cross multiply
    36,713x = 50,664 × 19,946
  4. Step 4: Simplify right side
    36,713x = 1,010,544,144
  5. Step 5: Solve for x
    x = 1,010,544,144/36,713
  6. Step 6: Final answer
    x = 27,525.51

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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.