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Finding the Fourth Proportional to 33,538.47, 50,314.97 and 10,166.67

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Solution

The fourth proportional to 33,538.47, 50,314.97 and 10,166.67 is: 15,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.47 : 50,314.97 = 10,166.67 : x
  2. Step 2: Convert to fraction form
    33,538.47/50,314.97 = 10,166.67/x
  3. Step 3: Cross multiply
    33,538.47x = 50,314.97 × 10,166.67
  4. Step 4: Simplify right side
    33,538.47x = 511,535,645.22
  5. Step 5: Solve for x
    x = 511,535,645.22/33,538.47
  6. Step 6: Final answer
    x = 15,252.21

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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.