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Finding the Fourth Proportional to 33,848.75, 50,773.14 and 9,224.75

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Solution

The fourth proportional to 33,848.75, 50,773.14 and 9,224.75 is: 13,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,848.75 : 50,773.14 = 9,224.75 : x
  2. Step 2: Convert to fraction form
    33,848.75/50,773.14 = 9,224.75/x
  3. Step 3: Cross multiply
    33,848.75x = 50,773.14 × 9,224.75
  4. Step 4: Simplify right side
    33,848.75x = 468,369,523.22
  5. Step 5: Solve for x
    x = 468,369,523.22/33,848.75
  6. Step 6: Final answer
    x = 13,837.13

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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.