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Finding the Fourth Proportional to 30,229.26, 41,676.30 and 24,831.42

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Solution

The fourth proportional to 30,229.26, 41,676.30 and 24,831.42 is: 34,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.26 : 41,676.30 = 24,831.42 : x
  2. Step 2: Convert to fraction form
    30,229.26/41,676.30 = 24,831.42/x
  3. Step 3: Cross multiply
    30,229.26x = 41,676.30 × 24,831.42
  4. Step 4: Simplify right side
    30,229.26x = 1,034,881,709.35
  5. Step 5: Solve for x
    x = 1,034,881,709.35/30,229.26
  6. Step 6: Final answer
    x = 34,234.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.