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Finding the Fourth Proportional to 100,361.65, 150,542.73 and 33,848.50

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Solution

The fourth proportional to 100,361.65, 150,542.73 and 33,848.50 is: 50,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,361.65 : 150,542.73 = 33,848.50 : x
  2. Step 2: Convert to fraction form
    100,361.65/150,542.73 = 33,848.50/x
  3. Step 3: Cross multiply
    100,361.65x = 150,542.73 × 33,848.50
  4. Step 4: Simplify right side
    100,361.65x = 5,095,645,596.41
  5. Step 5: Solve for x
    x = 5,095,645,596.41/100,361.65
  6. Step 6: Final answer
    x = 50,772.84

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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.