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Finding the Fourth Proportional to 76,361.87, 114,559.25 and 23,049.38

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Solution

The fourth proportional to 76,361.87, 114,559.25 and 23,049.38 is: 34,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,361.87 : 114,559.25 = 23,049.38 : x
  2. Step 2: Convert to fraction form
    76,361.87/114,559.25 = 23,049.38/x
  3. Step 3: Cross multiply
    76,361.87x = 114,559.25 × 23,049.38
  4. Step 4: Simplify right side
    76,361.87x = 2,640,519,685.77
  5. Step 5: Solve for x
    x = 2,640,519,685.77/76,361.87
  6. Step 6: Final answer
    x = 34,579.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.