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Finding the Fourth Proportional to 30,284.52, 41,792 and 16,855.48

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Solution

The fourth proportional to 30,284.52, 41,792 and 16,855.48 is: 23,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.52 : 41,792 = 16,855.48 : x
  2. Step 2: Convert to fraction form
    30,284.52/41,792 = 16,855.48/x
  3. Step 3: Cross multiply
    30,284.52x = 41,792 × 16,855.48
  4. Step 4: Simplify right side
    30,284.52x = 704,424,220.16
  5. Step 5: Solve for x
    x = 704,424,220.16/30,284.52
  6. Step 6: Final answer
    x = 23,260.21

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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.