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Finding the Fourth Proportional to 37,100, 51,201.24 and 20,336.24

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Solution

The fourth proportional to 37,100, 51,201.24 and 20,336.24 is: 28,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100 : 51,201.24 = 20,336.24 : x
  2. Step 2: Convert to fraction form
    37,100/51,201.24 = 20,336.24/x
  3. Step 3: Cross multiply
    37,100x = 51,201.24 × 20,336.24
  4. Step 4: Simplify right side
    37,100x = 1,041,240,704.94
  5. Step 5: Solve for x
    x = 1,041,240,704.94/37,100
  6. Step 6: Final answer
    x = 28,065.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.