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Finding the Fourth Proportional to 33,538.48, 46,282.84 and 18,224.88

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Solution

The fourth proportional to 33,538.48, 46,282.84 and 18,224.88 is: 25,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.48 : 46,282.84 = 18,224.88 : x
  2. Step 2: Convert to fraction form
    33,538.48/46,282.84 = 18,224.88/x
  3. Step 3: Cross multiply
    33,538.48x = 46,282.84 × 18,224.88
  4. Step 4: Simplify right side
    33,538.48x = 843,499,205.06
  5. Step 5: Solve for x
    x = 843,499,205.06/33,538.48
  6. Step 6: Final answer
    x = 25,150.19

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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.