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Finding the Fourth Proportional to 33,633.31, 50,449.49 and 11,462.12

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Solution

The fourth proportional to 33,633.31, 50,449.49 and 11,462.12 is: 17,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.31 : 50,449.49 = 11,462.12 : x
  2. Step 2: Convert to fraction form
    33,633.31/50,449.49 = 11,462.12/x
  3. Step 3: Cross multiply
    33,633.31x = 50,449.49 × 11,462.12
  4. Step 4: Simplify right side
    33,633.31x = 578,258,051.01
  5. Step 5: Solve for x
    x = 578,258,051.01/33,633.31
  6. Step 6: Final answer
    x = 17,193.02

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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.