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Finding the Fourth Proportional to 77,697.78, 107,222.34 and 44,163.78

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Solution

The fourth proportional to 77,697.78, 107,222.34 and 44,163.78 is: 60,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,697.78 : 107,222.34 = 44,163.78 : x
  2. Step 2: Convert to fraction form
    77,697.78/107,222.34 = 44,163.78/x
  3. Step 3: Cross multiply
    77,697.78x = 107,222.34 × 44,163.78
  4. Step 4: Simplify right side
    77,697.78x = 4,735,343,834.85
  5. Step 5: Solve for x
    x = 4,735,343,834.85/77,697.78
  6. Step 6: Final answer
    x = 60,945.68

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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.