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Finding the Fourth Proportional to 77,067, 106,361.10 and 43,535.16

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Solution

The fourth proportional to 77,067, 106,361.10 and 43,535.16 is: 60,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,067 : 106,361.10 = 43,535.16 : x
  2. Step 2: Convert to fraction form
    77,067/106,361.10 = 43,535.16/x
  3. Step 3: Cross multiply
    77,067x = 106,361.10 × 43,535.16
  4. Step 4: Simplify right side
    77,067x = 4,630,447,506.28
  5. Step 5: Solve for x
    x = 4,630,447,506.28/77,067
  6. Step 6: Final answer
    x = 60,083.40

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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.