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Finding the Fourth Proportional to 37,135, 51,246.30 and 20,367.64

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Solution

The fourth proportional to 37,135, 51,246.30 and 20,367.64 is: 28,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,135 : 51,246.30 = 20,367.64 : x
  2. Step 2: Convert to fraction form
    37,135/51,246.30 = 20,367.64/x
  3. Step 3: Cross multiply
    37,135x = 51,246.30 × 20,367.64
  4. Step 4: Simplify right side
    37,135x = 1,043,766,189.73
  5. Step 5: Solve for x
    x = 1,043,766,189.73/37,135
  6. Step 6: Final answer
    x = 28,107.34

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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.