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Finding the Fourth Proportional to 33,852.25, 50,778.38 and 9,228.25

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Solution

The fourth proportional to 33,852.25, 50,778.38 and 9,228.25 is: 13,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852.25 : 50,778.38 = 9,228.25 : x
  2. Step 2: Convert to fraction form
    33,852.25/50,778.38 = 9,228.25/x
  3. Step 3: Cross multiply
    33,852.25x = 50,778.38 × 9,228.25
  4. Step 4: Simplify right side
    33,852.25x = 468,595,585.24
  5. Step 5: Solve for x
    x = 468,595,585.24/33,852.25
  6. Step 6: Final answer
    x = 13,842.38

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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.