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Finding the Fourth Proportional to 37,141.20, 55,761.24 and 21,570

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Solution

The fourth proportional to 37,141.20, 55,761.24 and 21,570 is: 32,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141.20 : 55,761.24 = 21,570 : x
  2. Step 2: Convert to fraction form
    37,141.20/55,761.24 = 21,570/x
  3. Step 3: Cross multiply
    37,141.20x = 55,761.24 × 21,570
  4. Step 4: Simplify right side
    37,141.20x = 1,202,769,946.80
  5. Step 5: Solve for x
    x = 1,202,769,946.80/37,141.20
  6. Step 6: Final answer
    x = 32,383.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.