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Finding the Fourth Proportional to 37,171.68, 51,296.40 and 23,028

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Solution

The fourth proportional to 37,171.68, 51,296.40 and 23,028 is: 31,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,171.68 : 51,296.40 = 23,028 : x
  2. Step 2: Convert to fraction form
    37,171.68/51,296.40 = 23,028/x
  3. Step 3: Cross multiply
    37,171.68x = 51,296.40 × 23,028
  4. Step 4: Simplify right side
    37,171.68x = 1,181,253,499.20
  5. Step 5: Solve for x
    x = 1,181,253,499.20/37,171.68
  6. Step 6: Final answer
    x = 31,778.32

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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.