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Finding the Fourth Proportional to 37,213.92, 55,796.76 and 19,692

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Solution

The fourth proportional to 37,213.92, 55,796.76 and 19,692 is: 29,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,213.92 : 55,796.76 = 19,692 : x
  2. Step 2: Convert to fraction form
    37,213.92/55,796.76 = 19,692/x
  3. Step 3: Cross multiply
    37,213.92x = 55,796.76 × 19,692
  4. Step 4: Simplify right side
    37,213.92x = 1,098,749,797.92
  5. Step 5: Solve for x
    x = 1,098,749,797.92/37,213.92
  6. Step 6: Final answer
    x = 29,525.24

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Why These Related Problems?

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