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Finding the Fourth Proportional to 33,646, 46,431.48 and 19,507.05

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Solution

The fourth proportional to 33,646, 46,431.48 and 19,507.05 is: 26,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,646 : 46,431.48 = 19,507.05 : x
  2. Step 2: Convert to fraction form
    33,646/46,431.48 = 19,507.05/x
  3. Step 3: Cross multiply
    33,646x = 46,431.48 × 19,507.05
  4. Step 4: Simplify right side
    33,646x = 905,741,201.93
  5. Step 5: Solve for x
    x = 905,741,201.93/33,646
  6. Step 6: Final answer
    x = 26,919.73

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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.