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Finding the Fourth Proportional to 35,651.46, 49,192.46 and 20,542

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Solution

The fourth proportional to 35,651.46, 49,192.46 and 20,542 is: 28,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,651.46 : 49,192.46 = 20,542 : x
  2. Step 2: Convert to fraction form
    35,651.46/49,192.46 = 20,542/x
  3. Step 3: Cross multiply
    35,651.46x = 49,192.46 × 20,542
  4. Step 4: Simplify right side
    35,651.46x = 1,010,511,513.32
  5. Step 5: Solve for x
    x = 1,010,511,513.32/35,651.46
  6. Step 6: Final answer
    x = 28,344.18

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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.