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Finding the Fourth Proportional to 77,977, 107,610.42 and 44,443

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Solution

The fourth proportional to 77,977, 107,610.42 and 44,443 is: 61,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977 : 107,610.42 = 44,443 : x
  2. Step 2: Convert to fraction form
    77,977/107,610.42 = 44,443/x
  3. Step 3: Cross multiply
    77,977x = 107,610.42 × 44,443
  4. Step 4: Simplify right side
    77,977x = 4,782,529,896.06
  5. Step 5: Solve for x
    x = 4,782,529,896.06/77,977
  6. Step 6: Final answer
    x = 61,332.57

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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.