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Finding the Fourth Proportional to 37,627, 51,927.06 and 20,860

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Solution

The fourth proportional to 37,627, 51,927.06 and 20,860 is: 28,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,627 : 51,927.06 = 20,860 : x
  2. Step 2: Convert to fraction form
    37,627/51,927.06 = 20,860/x
  3. Step 3: Cross multiply
    37,627x = 51,927.06 × 20,860
  4. Step 4: Simplify right side
    37,627x = 1,083,198,471.60
  5. Step 5: Solve for x
    x = 1,083,198,471.60/37,627
  6. Step 6: Final answer
    x = 28,787.80

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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.