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Finding the Fourth Proportional to 104,308.25, 156,474.59 and 33,205.97

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Solution

The fourth proportional to 104,308.25, 156,474.59 and 33,205.97 is: 49,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,308.25 : 156,474.59 = 33,205.97 : x
  2. Step 2: Convert to fraction form
    104,308.25/156,474.59 = 33,205.97/x
  3. Step 3: Cross multiply
    104,308.25x = 156,474.59 × 33,205.97
  4. Step 4: Simplify right side
    104,308.25x = 5,195,889,592.90
  5. Step 5: Solve for x
    x = 5,195,889,592.90/104,308.25
  6. Step 6: Final answer
    x = 49,812.84

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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.