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Finding the Fourth Proportional to 33,586.48, 50,310.56 and 19,702

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Solution

The fourth proportional to 33,586.48, 50,310.56 and 19,702 is: 29,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,586.48 : 50,310.56 = 19,702 : x
  2. Step 2: Convert to fraction form
    33,586.48/50,310.56 = 19,702/x
  3. Step 3: Cross multiply
    33,586.48x = 50,310.56 × 19,702
  4. Step 4: Simplify right side
    33,586.48x = 991,218,653.12
  5. Step 5: Solve for x
    x = 991,218,653.12/33,586.48
  6. Step 6: Final answer
    x = 29,512.43

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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.