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Finding the Fourth Proportional to 82,438.54, 123,662.97 and 23,278.77

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Solution

The fourth proportional to 82,438.54, 123,662.97 and 23,278.77 is: 34,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,438.54 : 123,662.97 = 23,278.77 : x
  2. Step 2: Convert to fraction form
    82,438.54/123,662.97 = 23,278.77/x
  3. Step 3: Cross multiply
    82,438.54x = 123,662.97 × 23,278.77
  4. Step 4: Simplify right side
    82,438.54x = 2,878,721,836.15
  5. Step 5: Solve for x
    x = 2,878,721,836.15/82,438.54
  6. Step 6: Final answer
    x = 34,919.61

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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.