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Finding the Fourth Proportional to 117,102.38, 175,658.42 and 33,996.38

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Solution

The fourth proportional to 117,102.38, 175,658.42 and 33,996.38 is: 50,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,102.38 : 175,658.42 = 33,996.38 : x
  2. Step 2: Convert to fraction form
    117,102.38/175,658.42 = 33,996.38/x
  3. Step 3: Cross multiply
    117,102.38x = 175,658.42 × 33,996.38
  4. Step 4: Simplify right side
    117,102.38x = 5,971,749,603.22
  5. Step 5: Solve for x
    x = 5,971,749,603.22/117,102.38
  6. Step 6: Final answer
    x = 50,995.97

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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.