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Finding the Fourth Proportional to 37,078.68, 51,168.46 and 20,082.88

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Solution

The fourth proportional to 37,078.68, 51,168.46 and 20,082.88 is: 27,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078.68 : 51,168.46 = 20,082.88 : x
  2. Step 2: Convert to fraction form
    37,078.68/51,168.46 = 20,082.88/x
  3. Step 3: Cross multiply
    37,078.68x = 51,168.46 × 20,082.88
  4. Step 4: Simplify right side
    37,078.68x = 1,027,610,151.66
  5. Step 5: Solve for x
    x = 1,027,610,151.66/37,078.68
  6. Step 6: Final answer
    x = 27,714.31

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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.