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Finding the Fourth Proportional to 105,994.50, 159,064.65 and 43,665

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Solution

The fourth proportional to 105,994.50, 159,064.65 and 43,665 is: 65,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,994.50 : 159,064.65 = 43,665 : x
  2. Step 2: Convert to fraction form
    105,994.50/159,064.65 = 43,665/x
  3. Step 3: Cross multiply
    105,994.50x = 159,064.65 × 43,665
  4. Step 4: Simplify right side
    105,994.50x = 6,945,557,942.25
  5. Step 5: Solve for x
    x = 6,945,557,942.25/105,994.50
  6. Step 6: Final answer
    x = 65,527.53

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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.