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Finding the Fourth Proportional to 33,974.19, 50,959.49 and 10,597.95

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Solution

The fourth proportional to 33,974.19, 50,959.49 and 10,597.95 is: 15,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,974.19 : 50,959.49 = 10,597.95 : x
  2. Step 2: Convert to fraction form
    33,974.19/50,959.49 = 10,597.95/x
  3. Step 3: Cross multiply
    33,974.19x = 50,959.49 × 10,597.95
  4. Step 4: Simplify right side
    33,974.19x = 540,066,074.06
  5. Step 5: Solve for x
    x = 540,066,074.06/33,974.19
  6. Step 6: Final answer
    x = 15,896.36

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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.