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Finding the Fourth Proportional to 73,253.21, 109,898.24 and 33,838.21

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Solution

The fourth proportional to 73,253.21, 109,898.24 and 33,838.21 is: 50,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,253.21 : 109,898.24 = 33,838.21 : x
  2. Step 2: Convert to fraction form
    73,253.21/109,898.24 = 33,838.21/x
  3. Step 3: Cross multiply
    73,253.21x = 109,898.24 × 33,838.21
  4. Step 4: Simplify right side
    73,253.21x = 3,718,759,359.26
  5. Step 5: Solve for x
    x = 3,718,759,359.26/73,253.21
  6. Step 6: Final answer
    x = 50,765.82

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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.