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Finding the Fourth Proportional to 36,738.20, 50,698.74 and 19,971.20

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Solution

The fourth proportional to 36,738.20, 50,698.74 and 19,971.20 is: 27,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738.20 : 50,698.74 = 19,971.20 : x
  2. Step 2: Convert to fraction form
    36,738.20/50,698.74 = 19,971.20/x
  3. Step 3: Cross multiply
    36,738.20x = 50,698.74 × 19,971.20
  4. Step 4: Simplify right side
    36,738.20x = 1,012,514,422.79
  5. Step 5: Solve for x
    x = 1,012,514,422.79/36,738.20
  6. Step 6: Final answer
    x = 27,560.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.