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Finding the Fourth Proportional to 30,114.92, 41,556.85 and 16,685.38

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Solution

The fourth proportional to 30,114.92, 41,556.85 and 16,685.38 is: 23,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.92 : 41,556.85 = 16,685.38 : x
  2. Step 2: Convert to fraction form
    30,114.92/41,556.85 = 16,685.38/x
  3. Step 3: Cross multiply
    30,114.92x = 41,556.85 × 16,685.38
  4. Step 4: Simplify right side
    30,114.92x = 693,391,833.85
  5. Step 5: Solve for x
    x = 693,391,833.85/30,114.92
  6. Step 6: Final answer
    x = 23,024.86

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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.