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Finding the Fourth Proportional to 82,481.76, 123,732.36 and 61,836.48

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Solution

The fourth proportional to 82,481.76, 123,732.36 and 61,836.48 is: 92,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.76 : 123,732.36 = 61,836.48 : x
  2. Step 2: Convert to fraction form
    82,481.76/123,732.36 = 61,836.48/x
  3. Step 3: Cross multiply
    82,481.76x = 123,732.36 × 61,836.48
  4. Step 4: Simplify right side
    82,481.76x = 7,651,173,604.49
  5. Step 5: Solve for x
    x = 7,651,173,604.49/82,481.76
  6. Step 6: Final answer
    x = 92,762.01

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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.