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Finding the Fourth Proportional to 82,546.76, 123,827.04 and 26,394.86

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Solution

The fourth proportional to 82,546.76, 123,827.04 and 26,394.86 is: 39,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,546.76 : 123,827.04 = 26,394.86 : x
  2. Step 2: Convert to fraction form
    82,546.76/123,827.04 = 26,394.86/x
  3. Step 3: Cross multiply
    82,546.76x = 123,827.04 × 26,394.86
  4. Step 4: Simplify right side
    82,546.76x = 3,268,396,765.88
  5. Step 5: Solve for x
    x = 3,268,396,765.88/82,546.76
  6. Step 6: Final answer
    x = 39,594.49

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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.