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Finding the Fourth Proportional to 37,176.68, 51,019.24 and 36,914.24

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Solution

The fourth proportional to 37,176.68, 51,019.24 and 36,914.24 is: 50,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.68 : 51,019.24 = 36,914.24 : x
  2. Step 2: Convert to fraction form
    37,176.68/51,019.24 = 36,914.24/x
  3. Step 3: Cross multiply
    37,176.68x = 51,019.24 × 36,914.24
  4. Step 4: Simplify right side
    37,176.68x = 1,883,336,469.98
  5. Step 5: Solve for x
    x = 1,883,336,469.98/37,176.68
  6. Step 6: Final answer
    x = 50,659.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.