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Finding the Fourth Proportional to 73,219.37, 109,729.69 and 33,188.36

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Solution

The fourth proportional to 73,219.37, 109,729.69 and 33,188.36 is: 49,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,219.37 : 109,729.69 = 33,188.36 : x
  2. Step 2: Convert to fraction form
    73,219.37/109,729.69 = 33,188.36/x
  3. Step 3: Cross multiply
    73,219.37x = 109,729.69 × 33,188.36
  4. Step 4: Simplify right side
    73,219.37x = 3,641,747,822.79
  5. Step 5: Solve for x
    x = 3,641,747,822.79/73,219.37
  6. Step 6: Final answer
    x = 49,737.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.