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Finding the Fourth Proportional to 37,100, 51,198 and 20,332.64

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Solution

The fourth proportional to 37,100, 51,198 and 20,332.64 is: 28,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100 : 51,198 = 20,332.64 : x
  2. Step 2: Convert to fraction form
    37,100/51,198 = 20,332.64/x
  3. Step 3: Cross multiply
    37,100x = 51,198 × 20,332.64
  4. Step 4: Simplify right side
    37,100x = 1,040,990,502.72
  5. Step 5: Solve for x
    x = 1,040,990,502.72/37,100
  6. Step 6: Final answer
    x = 28,059.04

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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.