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Finding the Fourth Proportional to 37,467.60, 51,704.68 and 20,471.48

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Solution

The fourth proportional to 37,467.60, 51,704.68 and 20,471.48 is: 28,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,467.60 : 51,704.68 = 20,471.48 : x
  2. Step 2: Convert to fraction form
    37,467.60/51,704.68 = 20,471.48/x
  3. Step 3: Cross multiply
    37,467.60x = 51,704.68 × 20,471.48
  4. Step 4: Simplify right side
    37,467.60x = 1,058,471,322.53
  5. Step 5: Solve for x
    x = 1,058,471,322.53/37,467.60
  6. Step 6: Final answer
    x = 28,250.31

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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.