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Finding the Fourth Proportional to 73,824.30, 110,736.45 and 50,496.30

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Solution

The fourth proportional to 73,824.30, 110,736.45 and 50,496.30 is: 75,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,824.30 : 110,736.45 = 50,496.30 : x
  2. Step 2: Convert to fraction form
    73,824.30/110,736.45 = 50,496.30/x
  3. Step 3: Cross multiply
    73,824.30x = 110,736.45 × 50,496.30
  4. Step 4: Simplify right side
    73,824.30x = 5,591,781,000.14
  5. Step 5: Solve for x
    x = 5,591,781,000.14/73,824.30
  6. Step 6: Final answer
    x = 75,744.45

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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.