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Finding the Fourth Proportional to 113,644.82, 170,460.51 and 33,679.54

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Solution

The fourth proportional to 113,644.82, 170,460.51 and 33,679.54 is: 50,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,644.82 : 170,460.51 = 33,679.54 : x
  2. Step 2: Convert to fraction form
    113,644.82/170,460.51 = 33,679.54/x
  3. Step 3: Cross multiply
    113,644.82x = 170,460.51 × 33,679.54
  4. Step 4: Simplify right side
    113,644.82x = 5,741,031,564.97
  5. Step 5: Solve for x
    x = 5,741,031,564.97/113,644.82
  6. Step 6: Final answer
    x = 50,517.32

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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.