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Finding the Fourth Proportional to 37,771.60, 56,657.44 and 10,069.60

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Solution

The fourth proportional to 37,771.60, 56,657.44 and 10,069.60 is: 15,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,771.60 : 56,657.44 = 10,069.60 : x
  2. Step 2: Convert to fraction form
    37,771.60/56,657.44 = 10,069.60/x
  3. Step 3: Cross multiply
    37,771.60x = 56,657.44 × 10,069.60
  4. Step 4: Simplify right side
    37,771.60x = 570,517,757.82
  5. Step 5: Solve for x
    x = 570,517,757.82/37,771.60
  6. Step 6: Final answer
    x = 15,104.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.