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Finding the Fourth Proportional to 33,546.48, 50,342.34 and 13,824.60

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Solution

The fourth proportional to 33,546.48, 50,342.34 and 13,824.60 is: 20,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,546.48 : 50,342.34 = 13,824.60 : x
  2. Step 2: Convert to fraction form
    33,546.48/50,342.34 = 13,824.60/x
  3. Step 3: Cross multiply
    33,546.48x = 50,342.34 × 13,824.60
  4. Step 4: Simplify right side
    33,546.48x = 695,962,461.85
  5. Step 5: Solve for x
    x = 695,962,461.85/33,546.48
  6. Step 6: Final answer
    x = 20,746.22

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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.