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Finding the Fourth Proportional to 33,431.72, 46,136.14 and 18,324.06

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Solution

The fourth proportional to 33,431.72, 46,136.14 and 18,324.06 is: 25,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.72 : 46,136.14 = 18,324.06 : x
  2. Step 2: Convert to fraction form
    33,431.72/46,136.14 = 18,324.06/x
  3. Step 3: Cross multiply
    33,431.72x = 46,136.14 × 18,324.06
  4. Step 4: Simplify right side
    33,431.72x = 845,401,075.23
  5. Step 5: Solve for x
    x = 845,401,075.23/33,431.72
  6. Step 6: Final answer
    x = 25,287.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.