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Finding the Fourth Proportional to 77,912.93, 116,777.12 and 35,757.50

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Solution

The fourth proportional to 77,912.93, 116,777.12 and 35,757.50 is: 53,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,912.93 : 116,777.12 = 35,757.50 : x
  2. Step 2: Convert to fraction form
    77,912.93/116,777.12 = 35,757.50/x
  3. Step 3: Cross multiply
    77,912.93x = 116,777.12 × 35,757.50
  4. Step 4: Simplify right side
    77,912.93x = 4,175,657,105.73
  5. Step 5: Solve for x
    x = 4,175,657,105.73/77,912.93
  6. Step 6: Final answer
    x = 53,593.89

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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.