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Finding the Fourth Proportional to 33,538.99, 46,263.22 and 19,917.78

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Solution

The fourth proportional to 33,538.99, 46,263.22 and 19,917.78 is: 27,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.99 : 46,263.22 = 19,917.78 : x
  2. Step 2: Convert to fraction form
    33,538.99/46,263.22 = 19,917.78/x
  3. Step 3: Cross multiply
    33,538.99x = 46,263.22 × 19,917.78
  4. Step 4: Simplify right side
    33,538.99x = 921,460,638.05
  5. Step 5: Solve for x
    x = 921,460,638.05/33,538.99
  6. Step 6: Final answer
    x = 27,474.31

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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.