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Finding the Fourth Proportional to 37,180.50, 51,309.09 and 20,414.58

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Solution

The fourth proportional to 37,180.50, 51,309.09 and 20,414.58 is: 28,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,180.50 : 51,309.09 = 20,414.58 : x
  2. Step 2: Convert to fraction form
    37,180.50/51,309.09 = 20,414.58/x
  3. Step 3: Cross multiply
    37,180.50x = 51,309.09 × 20,414.58
  4. Step 4: Simplify right side
    37,180.50x = 1,047,453,522.53
  5. Step 5: Solve for x
    x = 1,047,453,522.53/37,180.50
  6. Step 6: Final answer
    x = 28,172.12

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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.