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Finding the Fourth Proportional to 33,828.03, 50,748.42 and 10,449

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Solution

The fourth proportional to 33,828.03, 50,748.42 and 10,449 is: 15,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.03 : 50,748.42 = 10,449 : x
  2. Step 2: Convert to fraction form
    33,828.03/50,748.42 = 10,449/x
  3. Step 3: Cross multiply
    33,828.03x = 50,748.42 × 10,449
  4. Step 4: Simplify right side
    33,828.03x = 530,270,279.76
  5. Step 5: Solve for x
    x = 530,270,279.76/33,828.03
  6. Step 6: Final answer
    x = 15,675.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.