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Finding the Fourth Proportional to 54,691.64, 82,026.98 and 23,091.31

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Solution

The fourth proportional to 54,691.64, 82,026.98 and 23,091.31 is: 34,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.64 : 82,026.98 = 23,091.31 : x
  2. Step 2: Convert to fraction form
    54,691.64/82,026.98 = 23,091.31/x
  3. Step 3: Cross multiply
    54,691.64x = 82,026.98 × 23,091.31
  4. Step 4: Simplify right side
    54,691.64x = 1,894,110,497.21
  5. Step 5: Solve for x
    x = 1,894,110,497.21/54,691.64
  6. Step 6: Final answer
    x = 34,632.54

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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.