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Finding the Fourth Proportional to 65,165.20, 97,728.30 and 33,983.44

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Solution

The fourth proportional to 65,165.20, 97,728.30 and 33,983.44 is: 50,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.20 : 97,728.30 = 33,983.44 : x
  2. Step 2: Convert to fraction form
    65,165.20/97,728.30 = 33,983.44/x
  3. Step 3: Cross multiply
    65,165.20x = 97,728.30 × 33,983.44
  4. Step 4: Simplify right side
    65,165.20x = 3,321,143,819.35
  5. Step 5: Solve for x
    x = 3,321,143,819.35/65,165.20
  6. Step 6: Final answer
    x = 50,964.99

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1.5x scale

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.