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Finding the Fourth Proportional to 46,608.49, 69,782.44 and 25,184.44

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Solution

The fourth proportional to 46,608.49, 69,782.44 and 25,184.44 is: 37,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,608.49 : 69,782.44 = 25,184.44 : x
  2. Step 2: Convert to fraction form
    46,608.49/69,782.44 = 25,184.44/x
  3. Step 3: Cross multiply
    46,608.49x = 69,782.44 × 25,184.44
  4. Step 4: Simplify right side
    46,608.49x = 1,757,431,673.23
  5. Step 5: Solve for x
    x = 1,757,431,673.23/46,608.49
  6. Step 6: Final answer
    x = 37,706.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.