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Finding the Fourth Proportional to 75,679.36, 113,523.36 and 23,092.48

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Solution

The fourth proportional to 75,679.36, 113,523.36 and 23,092.48 is: 34,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679.36 : 113,523.36 = 23,092.48 : x
  2. Step 2: Convert to fraction form
    75,679.36/113,523.36 = 23,092.48/x
  3. Step 3: Cross multiply
    75,679.36x = 113,523.36 × 23,092.48
  4. Step 4: Simplify right side
    75,679.36x = 2,621,535,920.33
  5. Step 5: Solve for x
    x = 2,621,535,920.33/75,679.36
  6. Step 6: Final answer
    x = 34,640.04

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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.