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Finding the Fourth Proportional to 97,093.56, 145,675.42 and 33,923

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Solution

The fourth proportional to 97,093.56, 145,675.42 and 33,923 is: 50,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.56 : 145,675.42 = 33,923 : x
  2. Step 2: Convert to fraction form
    97,093.56/145,675.42 = 33,923/x
  3. Step 3: Cross multiply
    97,093.56x = 145,675.42 × 33,923
  4. Step 4: Simplify right side
    97,093.56x = 4,941,747,272.66
  5. Step 5: Solve for x
    x = 4,941,747,272.66/97,093.56
  6. Step 6: Final answer
    x = 50,896.76

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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.