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Finding the Fourth Proportional to 36,744.54, 50,707.14 and 19,977.54

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Solution

The fourth proportional to 36,744.54, 50,707.14 and 19,977.54 is: 27,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744.54 : 50,707.14 = 19,977.54 : x
  2. Step 2: Convert to fraction form
    36,744.54/50,707.14 = 19,977.54/x
  3. Step 3: Cross multiply
    36,744.54x = 50,707.14 × 19,977.54
  4. Step 4: Simplify right side
    36,744.54x = 1,013,003,917.64
  5. Step 5: Solve for x
    x = 1,013,003,917.64/36,744.54
  6. Step 6: Final answer
    x = 27,568.83

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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.