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Finding the Fourth Proportional to 71,832.34, 99,122.28 and 41,608

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Solution

The fourth proportional to 71,832.34, 99,122.28 and 41,608 is: 57,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832.34 : 99,122.28 = 41,608 : x
  2. Step 2: Convert to fraction form
    71,832.34/99,122.28 = 41,608/x
  3. Step 3: Cross multiply
    71,832.34x = 99,122.28 × 41,608
  4. Step 4: Simplify right side
    71,832.34x = 4,124,279,826.24
  5. Step 5: Solve for x
    x = 4,124,279,826.24/71,832.34
  6. Step 6: Final answer
    x = 57,415.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.