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Finding the Fourth Proportional to 37,281.74, 51,449.76 and 20,286.95

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Solution

The fourth proportional to 37,281.74, 51,449.76 and 20,286.95 is: 27,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,281.74 : 51,449.76 = 20,286.95 : x
  2. Step 2: Convert to fraction form
    37,281.74/51,449.76 = 20,286.95/x
  3. Step 3: Cross multiply
    37,281.74x = 51,449.76 × 20,286.95
  4. Step 4: Simplify right side
    37,281.74x = 1,043,758,451.38
  5. Step 5: Solve for x
    x = 1,043,758,451.38/37,281.74
  6. Step 6: Final answer
    x = 27,996.51

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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.