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Finding the Fourth Proportional to 36,914.40, 50,942 and 20,147.68

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Solution

The fourth proportional to 36,914.40, 50,942 and 20,147.68 is: 27,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,914.40 : 50,942 = 20,147.68 : x
  2. Step 2: Convert to fraction form
    36,914.40/50,942 = 20,147.68/x
  3. Step 3: Cross multiply
    36,914.40x = 50,942 × 20,147.68
  4. Step 4: Simplify right side
    36,914.40x = 1,026,363,114.56
  5. Step 5: Solve for x
    x = 1,026,363,114.56/36,914.40
  6. Step 6: Final answer
    x = 27,803.87

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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.