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Finding the Fourth Proportional to 80,714.88, 120,994.56 and 25,297.92

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Solution

The fourth proportional to 80,714.88, 120,994.56 and 25,297.92 is: 37,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,714.88 : 120,994.56 = 25,297.92 : x
  2. Step 2: Convert to fraction form
    80,714.88/120,994.56 = 25,297.92/x
  3. Step 3: Cross multiply
    80,714.88x = 120,994.56 × 25,297.92
  4. Step 4: Simplify right side
    80,714.88x = 3,060,910,699.32
  5. Step 5: Solve for x
    x = 3,060,910,699.32/80,714.88
  6. Step 6: Final answer
    x = 37,922.51

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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.