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Finding the Fourth Proportional to 33,850.95, 46,699.84 and 20,414.57

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Solution

The fourth proportional to 33,850.95, 46,699.84 and 20,414.57 is: 28,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,850.95 : 46,699.84 = 20,414.57 : x
  2. Step 2: Convert to fraction form
    33,850.95/46,699.84 = 20,414.57/x
  3. Step 3: Cross multiply
    33,850.95x = 46,699.84 × 20,414.57
  4. Step 4: Simplify right side
    33,850.95x = 953,356,868.13
  5. Step 5: Solve for x
    x = 953,356,868.13/33,850.95
  6. Step 6: Final answer
    x = 28,163.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.