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Finding the Fourth Proportional to 37,183.46, 55,680.10 and 20,525

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Solution

The fourth proportional to 37,183.46, 55,680.10 and 20,525 is: 30,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,183.46 : 55,680.10 = 20,525 : x
  2. Step 2: Convert to fraction form
    37,183.46/55,680.10 = 20,525/x
  3. Step 3: Cross multiply
    37,183.46x = 55,680.10 × 20,525
  4. Step 4: Simplify right side
    37,183.46x = 1,142,834,052.50
  5. Step 5: Solve for x
    x = 1,142,834,052.50/37,183.46
  6. Step 6: Final answer
    x = 30,735.01

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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.