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Finding the Fourth Proportional to 33,216.36, 49,824.36 and 14,238.20

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Solution

The fourth proportional to 33,216.36, 49,824.36 and 14,238.20 is: 21,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216.36 : 49,824.36 = 14,238.20 : x
  2. Step 2: Convert to fraction form
    33,216.36/49,824.36 = 14,238.20/x
  3. Step 3: Cross multiply
    33,216.36x = 49,824.36 × 14,238.20
  4. Step 4: Simplify right side
    33,216.36x = 709,409,202.55
  5. Step 5: Solve for x
    x = 709,409,202.55/33,216.36
  6. Step 6: Final answer
    x = 21,357.22

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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.