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Finding the Fourth Proportional to 34,234.40, 51,249.20 and 30,138.40

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Solution

The fourth proportional to 34,234.40, 51,249.20 and 30,138.40 is: 45,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234.40 : 51,249.20 = 30,138.40 : x
  2. Step 2: Convert to fraction form
    34,234.40/51,249.20 = 30,138.40/x
  3. Step 3: Cross multiply
    34,234.40x = 51,249.20 × 30,138.40
  4. Step 4: Simplify right side
    34,234.40x = 1,544,568,889.28
  5. Step 5: Solve for x
    x = 1,544,568,889.28/34,234.40
  6. Step 6: Final answer
    x = 45,117.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.