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Finding the Fourth Proportional to 30,049.38, 41,454.18 and 19,442.43

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Solution

The fourth proportional to 30,049.38, 41,454.18 and 19,442.43 is: 26,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,049.38 : 41,454.18 = 19,442.43 : x
  2. Step 2: Convert to fraction form
    30,049.38/41,454.18 = 19,442.43/x
  3. Step 3: Cross multiply
    30,049.38x = 41,454.18 × 19,442.43
  4. Step 4: Simplify right side
    30,049.38x = 805,969,992.86
  5. Step 5: Solve for x
    x = 805,969,992.86/30,049.38
  6. Step 6: Final answer
    x = 26,821.52

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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.