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Finding the Fourth Proportional to 33,852.02, 50,777.49 and 9,228.02

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Solution

The fourth proportional to 33,852.02, 50,777.49 and 9,228.02 is: 13,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852.02 : 50,777.49 = 9,228.02 : x
  2. Step 2: Convert to fraction form
    33,852.02/50,777.49 = 9,228.02/x
  3. Step 3: Cross multiply
    33,852.02x = 50,777.49 × 9,228.02
  4. Step 4: Simplify right side
    33,852.02x = 468,575,693.27
  5. Step 5: Solve for x
    x = 468,575,693.27/33,852.02
  6. Step 6: Final answer
    x = 13,841.88

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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.