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Finding the Fourth Proportional to 33,225.26, 49,837.90 and 22,805.42

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Solution

The fourth proportional to 33,225.26, 49,837.90 and 22,805.42 is: 34,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,225.26 : 49,837.90 = 22,805.42 : x
  2. Step 2: Convert to fraction form
    33,225.26/49,837.90 = 22,805.42/x
  3. Step 3: Cross multiply
    33,225.26x = 49,837.90 × 22,805.42
  4. Step 4: Simplify right side
    33,225.26x = 1,136,574,241.42
  5. Step 5: Solve for x
    x = 1,136,574,241.42/33,225.26
  6. Step 6: Final answer
    x = 34,208.14

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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.