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Finding the Fourth Proportional to 117,102.34, 175,658.37 and 33,996.34

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Solution

The fourth proportional to 117,102.34, 175,658.37 and 33,996.34 is: 50,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,102.34 : 175,658.37 = 33,996.34 : x
  2. Step 2: Convert to fraction form
    117,102.34/175,658.37 = 33,996.34/x
  3. Step 3: Cross multiply
    117,102.34x = 175,658.37 × 33,996.34
  4. Step 4: Simplify right side
    117,102.34x = 5,971,741,670.37
  5. Step 5: Solve for x
    x = 5,971,741,670.37/117,102.34
  6. Step 6: Final answer
    x = 50,995.92

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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.