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Finding the Fourth Proportional to 82,770.62, 114,222.38 and 48,780.56

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Solution

The fourth proportional to 82,770.62, 114,222.38 and 48,780.56 is: 67,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770.62 : 114,222.38 = 48,780.56 : x
  2. Step 2: Convert to fraction form
    82,770.62/114,222.38 = 48,780.56/x
  3. Step 3: Cross multiply
    82,770.62x = 114,222.38 × 48,780.56
  4. Step 4: Simplify right side
    82,770.62x = 5,571,831,660.93
  5. Step 5: Solve for x
    x = 5,571,831,660.93/82,770.62
  6. Step 6: Final answer
    x = 67,316.54

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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.