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Finding the Fourth Proportional to 37,586.35, 51,869.19 and 20,591.21

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Solution

The fourth proportional to 37,586.35, 51,869.19 and 20,591.21 is: 28,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.35 : 51,869.19 = 20,591.21 : x
  2. Step 2: Convert to fraction form
    37,586.35/51,869.19 = 20,591.21/x
  3. Step 3: Cross multiply
    37,586.35x = 51,869.19 × 20,591.21
  4. Step 4: Simplify right side
    37,586.35x = 1,068,049,280.86
  5. Step 5: Solve for x
    x = 1,068,049,280.86/37,586.35
  6. Step 6: Final answer
    x = 28,415.88

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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.