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Finding the Fourth Proportional to 33,562.48, 50,274.60 and 19,678

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Solution

The fourth proportional to 33,562.48, 50,274.60 and 19,678 is: 29,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,562.48 : 50,274.60 = 19,678 : x
  2. Step 2: Convert to fraction form
    33,562.48/50,274.60 = 19,678/x
  3. Step 3: Cross multiply
    33,562.48x = 50,274.60 × 19,678
  4. Step 4: Simplify right side
    33,562.48x = 989,303,578.80
  5. Step 5: Solve for x
    x = 989,303,578.80/33,562.48
  6. Step 6: Final answer
    x = 29,476.47

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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.