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Finding the Fourth Proportional to 73,984.20, 110,976.30 and 32,431.20

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Solution

The fourth proportional to 73,984.20, 110,976.30 and 32,431.20 is: 48,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,984.20 : 110,976.30 = 32,431.20 : x
  2. Step 2: Convert to fraction form
    73,984.20/110,976.30 = 32,431.20/x
  3. Step 3: Cross multiply
    73,984.20x = 110,976.30 × 32,431.20
  4. Step 4: Simplify right side
    73,984.20x = 3,599,094,580.56
  5. Step 5: Solve for x
    x = 3,599,094,580.56/73,984.20
  6. Step 6: Final answer
    x = 48,646.80

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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.