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Finding the Fourth Proportional to 37,660.97, 51,976.75 and 21,745.40

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Solution

The fourth proportional to 37,660.97, 51,976.75 and 21,745.40 is: 30,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660.97 : 51,976.75 = 21,745.40 : x
  2. Step 2: Convert to fraction form
    37,660.97/51,976.75 = 21,745.40/x
  3. Step 3: Cross multiply
    37,660.97x = 51,976.75 × 21,745.40
  4. Step 4: Simplify right side
    37,660.97x = 1,130,255,219.45
  5. Step 5: Solve for x
    x = 1,130,255,219.45/37,660.97
  6. Step 6: Final answer
    x = 30,011.31

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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.