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Finding the Fourth Proportional to 37,614.64, 51,908 and 20,847.60

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Solution

The fourth proportional to 37,614.64, 51,908 and 20,847.60 is: 28,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.64 : 51,908 = 20,847.60 : x
  2. Step 2: Convert to fraction form
    37,614.64/51,908 = 20,847.60/x
  3. Step 3: Cross multiply
    37,614.64x = 51,908 × 20,847.60
  4. Step 4: Simplify right side
    37,614.64x = 1,082,157,220.80
  5. Step 5: Solve for x
    x = 1,082,157,220.80/37,614.64
  6. Step 6: Final answer
    x = 28,769.58

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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.