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Finding the Fourth Proportional to 30,300.98, 41,815.38 and 16,874.82

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Solution

The fourth proportional to 30,300.98, 41,815.38 and 16,874.82 is: 23,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300.98 : 41,815.38 = 16,874.82 : x
  2. Step 2: Convert to fraction form
    30,300.98/41,815.38 = 16,874.82/x
  3. Step 3: Cross multiply
    30,300.98x = 41,815.38 × 16,874.82
  4. Step 4: Simplify right side
    30,300.98x = 705,627,010.73
  5. Step 5: Solve for x
    x = 705,627,010.73/30,300.98
  6. Step 6: Final answer
    x = 23,287.27

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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.