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Finding the Fourth Proportional to 37,586.63, 51,869.64 and 20,819.63

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Solution

The fourth proportional to 37,586.63, 51,869.64 and 20,819.63 is: 28,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.63 : 51,869.64 = 20,819.63 : x
  2. Step 2: Convert to fraction form
    37,586.63/51,869.64 = 20,819.63/x
  3. Step 3: Cross multiply
    37,586.63x = 51,869.64 × 20,819.63
  4. Step 4: Simplify right side
    37,586.63x = 1,079,906,453.69
  5. Step 5: Solve for x
    x = 1,079,906,453.69/37,586.63
  6. Step 6: Final answer
    x = 28,731.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.