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Finding the Fourth Proportional to 57,991.46, 80,024.45 and 34,113.56

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Solution

The fourth proportional to 57,991.46, 80,024.45 and 34,113.56 is: 47,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,991.46 : 80,024.45 = 34,113.56 : x
  2. Step 2: Convert to fraction form
    57,991.46/80,024.45 = 34,113.56/x
  3. Step 3: Cross multiply
    57,991.46x = 80,024.45 × 34,113.56
  4. Step 4: Simplify right side
    57,991.46x = 2,729,918,305.85
  5. Step 5: Solve for x
    x = 2,729,918,305.85/57,991.46
  6. Step 6: Final answer
    x = 47,074.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.