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Finding the Fourth Proportional to 69,138.86, 103,622 and 29,650.16

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Solution

The fourth proportional to 69,138.86, 103,622 and 29,650.16 is: 44,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138.86 : 103,622 = 29,650.16 : x
  2. Step 2: Convert to fraction form
    69,138.86/103,622 = 29,650.16/x
  3. Step 3: Cross multiply
    69,138.86x = 103,622 × 29,650.16
  4. Step 4: Simplify right side
    69,138.86x = 3,072,408,879.52
  5. Step 5: Solve for x
    x = 3,072,408,879.52/69,138.86
  6. Step 6: Final answer
    x = 44,438.23

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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.