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Finding the Fourth Proportional to 48,236.48, 72,380.86 and 20,159.00

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Solution

The fourth proportional to 48,236.48, 72,380.86 and 20,159.00 is: 30,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,236.48 : 72,380.86 = 20,159.00 : x
  2. Step 2: Convert to fraction form
    48,236.48/72,380.86 = 20,159.00/x
  3. Step 3: Cross multiply
    48,236.48x = 72,380.86 × 20,159.00
  4. Step 4: Simplify right side
    48,236.48x = 1,459,125,819.44
  5. Step 5: Solve for x
    x = 1,459,125,819.44/48,236.48
  6. Step 6: Final answer
    x = 30,249.43

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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.