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Finding the Fourth Proportional to 36,453, 50,305.14 and 19,686

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Solution

The fourth proportional to 36,453, 50,305.14 and 19,686 is: 27,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,453 : 50,305.14 = 19,686 : x
  2. Step 2: Convert to fraction form
    36,453/50,305.14 = 19,686/x
  3. Step 3: Cross multiply
    36,453x = 50,305.14 × 19,686
  4. Step 4: Simplify right side
    36,453x = 990,306,986.04
  5. Step 5: Solve for x
    x = 990,306,986.04/36,453
  6. Step 6: Final answer
    x = 27,166.68

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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.