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Finding the Fourth Proportional to 33,165.64, 45,769.22 and 19,738.68

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Solution

The fourth proportional to 33,165.64, 45,769.22 and 19,738.68 is: 27,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.64 : 45,769.22 = 19,738.68 : x
  2. Step 2: Convert to fraction form
    33,165.64/45,769.22 = 19,738.68/x
  3. Step 3: Cross multiply
    33,165.64x = 45,769.22 × 19,738.68
  4. Step 4: Simplify right side
    33,165.64x = 903,423,987.43
  5. Step 5: Solve for x
    x = 903,423,987.43/33,165.64
  6. Step 6: Final answer
    x = 27,239.76

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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.