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Finding the Fourth Proportional to 33,813.75, 50,723.88 and 9,189.75

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Solution

The fourth proportional to 33,813.75, 50,723.88 and 9,189.75 is: 13,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,813.75 : 50,723.88 = 9,189.75 : x
  2. Step 2: Convert to fraction form
    33,813.75/50,723.88 = 9,189.75/x
  3. Step 3: Cross multiply
    33,813.75x = 50,723.88 × 9,189.75
  4. Step 4: Simplify right side
    33,813.75x = 466,139,776.23
  5. Step 5: Solve for x
    x = 466,139,776.23/33,813.75
  6. Step 6: Final answer
    x = 13,785.51

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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.