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Finding the Fourth Proportional to 33,538.84, 50,314.74 and 11,355.82

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Solution

The fourth proportional to 33,538.84, 50,314.74 and 11,355.82 is: 17,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.84 : 50,314.74 = 11,355.82 : x
  2. Step 2: Convert to fraction form
    33,538.84/50,314.74 = 11,355.82/x
  3. Step 3: Cross multiply
    33,538.84x = 50,314.74 × 11,355.82
  4. Step 4: Simplify right side
    33,538.84x = 571,365,130.79
  5. Step 5: Solve for x
    x = 571,365,130.79/33,538.84
  6. Step 6: Final answer
    x = 17,035.92

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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.