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Finding the Fourth Proportional to 33,538.67, 46,255.90 and 20,782.99

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Solution

The fourth proportional to 33,538.67, 46,255.90 and 20,782.99 is: 28,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.67 : 46,255.90 = 20,782.99 : x
  2. Step 2: Convert to fraction form
    33,538.67/46,255.90 = 20,782.99/x
  3. Step 3: Cross multiply
    33,538.67x = 46,255.90 × 20,782.99
  4. Step 4: Simplify right side
    33,538.67x = 961,335,907.14
  5. Step 5: Solve for x
    x = 961,335,907.14/33,538.67
  6. Step 6: Final answer
    x = 28,663.51

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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.