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Finding the Fourth Proportional to 37,667, 51,980.42 and 20,671.34

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Solution

The fourth proportional to 37,667, 51,980.42 and 20,671.34 is: 28,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,667 : 51,980.42 = 20,671.34 : x
  2. Step 2: Convert to fraction form
    37,667/51,980.42 = 20,671.34/x
  3. Step 3: Cross multiply
    37,667x = 51,980.42 × 20,671.34
  4. Step 4: Simplify right side
    37,667x = 1,074,504,935.16
  5. Step 5: Solve for x
    x = 1,074,504,935.16/37,667
  6. Step 6: Final answer
    x = 28,526.43

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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.