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Finding the Fourth Proportional to 77,742.72, 116,634.24 and 33,361.92

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Solution

The fourth proportional to 77,742.72, 116,634.24 and 33,361.92 is: 50,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742.72 : 116,634.24 = 33,361.92 : x
  2. Step 2: Convert to fraction form
    77,742.72/116,634.24 = 33,361.92/x
  3. Step 3: Cross multiply
    77,742.72x = 116,634.24 × 33,361.92
  4. Step 4: Simplify right side
    77,742.72x = 3,891,142,184.14
  5. Step 5: Solve for x
    x = 3,891,142,184.14/77,742.72
  6. Step 6: Final answer
    x = 50,051.53

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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.