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Finding the Fourth Proportional to 37,027.40, 51,097.60 and 34,015

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Solution

The fourth proportional to 37,027.40, 51,097.60 and 34,015 is: 46,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027.40 : 51,097.60 = 34,015 : x
  2. Step 2: Convert to fraction form
    37,027.40/51,097.60 = 34,015/x
  3. Step 3: Cross multiply
    37,027.40x = 51,097.60 × 34,015
  4. Step 4: Simplify right side
    37,027.40x = 1,738,084,864
  5. Step 5: Solve for x
    x = 1,738,084,864/37,027.40
  6. Step 6: Final answer
    x = 46,940.51

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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.