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Finding the Fourth Proportional to 33,232.28, 49,848.01 and 8,272.53

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Solution

The fourth proportional to 33,232.28, 49,848.01 and 8,272.53 is: 12,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.28 : 49,848.01 = 8,272.53 : x
  2. Step 2: Convert to fraction form
    33,232.28/49,848.01 = 8,272.53/x
  3. Step 3: Cross multiply
    33,232.28x = 49,848.01 × 8,272.53
  4. Step 4: Simplify right side
    33,232.28x = 412,369,137.48
  5. Step 5: Solve for x
    x = 412,369,137.48/33,232.28
  6. Step 6: Final answer
    x = 12,408.69

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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.