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Finding the Fourth Proportional to 33,019.88, 45,514.16 and 27,041

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Solution

The fourth proportional to 33,019.88, 45,514.16 and 27,041 is: 37,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019.88 : 45,514.16 = 27,041 : x
  2. Step 2: Convert to fraction form
    33,019.88/45,514.16 = 27,041/x
  3. Step 3: Cross multiply
    33,019.88x = 45,514.16 × 27,041
  4. Step 4: Simplify right side
    33,019.88x = 1,230,748,400.56
  5. Step 5: Solve for x
    x = 1,230,748,400.56/33,019.88
  6. Step 6: Final answer
    x = 37,272.95

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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.