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Finding the Fourth Proportional to 33,093, 49,401.24 and 28,362

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Solution

The fourth proportional to 33,093, 49,401.24 and 28,362 is: 42,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,093 : 49,401.24 = 28,362 : x
  2. Step 2: Convert to fraction form
    33,093/49,401.24 = 28,362/x
  3. Step 3: Cross multiply
    33,093x = 49,401.24 × 28,362
  4. Step 4: Simplify right side
    33,093x = 1,401,117,968.88
  5. Step 5: Solve for x
    x = 1,401,117,968.88/33,093
  6. Step 6: Final answer
    x = 42,338.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.