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Finding the Fourth Proportional to 77,027, 115,206.96 and 45,361.58

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Solution

The fourth proportional to 77,027, 115,206.96 and 45,361.58 is: 67,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,027 : 115,206.96 = 45,361.58 : x
  2. Step 2: Convert to fraction form
    77,027/115,206.96 = 45,361.58/x
  3. Step 3: Cross multiply
    77,027x = 115,206.96 × 45,361.58
  4. Step 4: Simplify right side
    77,027x = 5,225,969,732.60
  5. Step 5: Solve for x
    x = 5,225,969,732.60/77,027
  6. Step 6: Final answer
    x = 67,845.95

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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.