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Finding the Fourth Proportional to 37,604.88, 51,896.76 and 20,838

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Solution

The fourth proportional to 37,604.88, 51,896.76 and 20,838 is: 28,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,604.88 : 51,896.76 = 20,838 : x
  2. Step 2: Convert to fraction form
    37,604.88/51,896.76 = 20,838/x
  3. Step 3: Cross multiply
    37,604.88x = 51,896.76 × 20,838
  4. Step 4: Simplify right side
    37,604.88x = 1,081,424,684.88
  5. Step 5: Solve for x
    x = 1,081,424,684.88/37,604.88
  6. Step 6: Final answer
    x = 28,757.56

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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.