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Finding the Fourth Proportional to 33,546.42, 50,334 and 11,362.14

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Solution

The fourth proportional to 33,546.42, 50,334 and 11,362.14 is: 17,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,546.42 : 50,334 = 11,362.14 : x
  2. Step 2: Convert to fraction form
    33,546.42/50,334 = 11,362.14/x
  3. Step 3: Cross multiply
    33,546.42x = 50,334 × 11,362.14
  4. Step 4: Simplify right side
    33,546.42x = 571,901,954.76
  5. Step 5: Solve for x
    x = 571,901,954.76/33,546.42
  6. Step 6: Final answer
    x = 17,048.08

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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.