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Finding the Fourth Proportional to 82,334.46, 113,660.76 and 55,157.34

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Solution

The fourth proportional to 82,334.46, 113,660.76 and 55,157.34 is: 76,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,334.46 : 113,660.76 = 55,157.34 : x
  2. Step 2: Convert to fraction form
    82,334.46/113,660.76 = 55,157.34/x
  3. Step 3: Cross multiply
    82,334.46x = 113,660.76 × 55,157.34
  4. Step 4: Simplify right side
    82,334.46x = 6,269,225,183.98
  5. Step 5: Solve for x
    x = 6,269,225,183.98/82,334.46
  6. Step 6: Final answer
    x = 76,143.39

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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.