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Finding the Fourth Proportional to 30,122.14, 41,569.62 and 18,183.14

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Solution

The fourth proportional to 30,122.14, 41,569.62 and 18,183.14 is: 25,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.14 : 41,569.62 = 18,183.14 : x
  2. Step 2: Convert to fraction form
    30,122.14/41,569.62 = 18,183.14/x
  3. Step 3: Cross multiply
    30,122.14x = 41,569.62 × 18,183.14
  4. Step 4: Simplify right side
    30,122.14x = 755,866,220.21
  5. Step 5: Solve for x
    x = 755,866,220.21/30,122.14
  6. Step 6: Final answer
    x = 25,093.38

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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.