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Finding the Fourth Proportional to 33,824.40, 50,663.70 and 22,014.60

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Solution

The fourth proportional to 33,824.40, 50,663.70 and 22,014.60 is: 32,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.40 : 50,663.70 = 22,014.60 : x
  2. Step 2: Convert to fraction form
    33,824.40/50,663.70 = 22,014.60/x
  3. Step 3: Cross multiply
    33,824.40x = 50,663.70 × 22,014.60
  4. Step 4: Simplify right side
    33,824.40x = 1,115,341,090.02
  5. Step 5: Solve for x
    x = 1,115,341,090.02/33,824.40
  6. Step 6: Final answer
    x = 32,974.45

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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.