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Finding the Fourth Proportional to 37,165, 51,281.94 and 21,250.12

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Solution

The fourth proportional to 37,165, 51,281.94 and 21,250.12 is: 29,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,165 : 51,281.94 = 21,250.12 : x
  2. Step 2: Convert to fraction form
    37,165/51,281.94 = 21,250.12/x
  3. Step 3: Cross multiply
    37,165x = 51,281.94 × 21,250.12
  4. Step 4: Simplify right side
    37,165x = 1,089,747,378.83
  5. Step 5: Solve for x
    x = 1,089,747,378.83/37,165
  6. Step 6: Final answer
    x = 29,321.87

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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.