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Finding the Fourth Proportional to 52,193, 72,026.34 and 29,837

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Solution

The fourth proportional to 52,193, 72,026.34 and 29,837 is: 41,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,193 : 72,026.34 = 29,837 : x
  2. Step 2: Convert to fraction form
    52,193/72,026.34 = 29,837/x
  3. Step 3: Cross multiply
    52,193x = 72,026.34 × 29,837
  4. Step 4: Simplify right side
    52,193x = 2,149,049,906.58
  5. Step 5: Solve for x
    x = 2,149,049,906.58/52,193
  6. Step 6: Final answer
    x = 41,175.06

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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.