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Finding the Fourth Proportional to 48,682.80, 72,978.84 and 22,408.56

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Solution

The fourth proportional to 48,682.80, 72,978.84 and 22,408.56 is: 33,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,682.80 : 72,978.84 = 22,408.56 : x
  2. Step 2: Convert to fraction form
    48,682.80/72,978.84 = 22,408.56/x
  3. Step 3: Cross multiply
    48,682.80x = 72,978.84 × 22,408.56
  4. Step 4: Simplify right side
    48,682.80x = 1,635,350,714.87
  5. Step 5: Solve for x
    x = 1,635,350,714.87/48,682.80
  6. Step 6: Final answer
    x = 33,591.96

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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.