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Finding the Fourth Proportional to 30,033.38, 41,442.35 and 16,604.90

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Solution

The fourth proportional to 30,033.38, 41,442.35 and 16,604.90 is: 22,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033.38 : 41,442.35 = 16,604.90 : x
  2. Step 2: Convert to fraction form
    30,033.38/41,442.35 = 16,604.90/x
  3. Step 3: Cross multiply
    30,033.38x = 41,442.35 × 16,604.90
  4. Step 4: Simplify right side
    30,033.38x = 688,146,067.22
  5. Step 5: Solve for x
    x = 688,146,067.22/30,033.38
  6. Step 6: Final answer
    x = 22,912.71

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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.