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Finding the Fourth Proportional to 37,169.92, 55,740.34 and 13,471.84

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Solution

The fourth proportional to 37,169.92, 55,740.34 and 13,471.84 is: 20,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,169.92 : 55,740.34 = 13,471.84 : x
  2. Step 2: Convert to fraction form
    37,169.92/55,740.34 = 13,471.84/x
  3. Step 3: Cross multiply
    37,169.92x = 55,740.34 × 13,471.84
  4. Step 4: Simplify right side
    37,169.92x = 750,924,942.03
  5. Step 5: Solve for x
    x = 750,924,942.03/37,169.92
  6. Step 6: Final answer
    x = 20,202.49

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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.