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Finding the Fourth Proportional to 33,838.48, 50,757.56 and 22,570

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Solution

The fourth proportional to 33,838.48, 50,757.56 and 22,570 is: 33,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.48 : 50,757.56 = 22,570 : x
  2. Step 2: Convert to fraction form
    33,838.48/50,757.56 = 22,570/x
  3. Step 3: Cross multiply
    33,838.48x = 50,757.56 × 22,570
  4. Step 4: Simplify right side
    33,838.48x = 1,145,598,129.20
  5. Step 5: Solve for x
    x = 1,145,598,129.20/33,838.48
  6. Step 6: Final answer
    x = 33,854.89

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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.