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Finding the Fourth Proportional to 54,181.44, 81,272.16 and 26,460

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Solution

The fourth proportional to 54,181.44, 81,272.16 and 26,460 is: 39,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,181.44 : 81,272.16 = 26,460 : x
  2. Step 2: Convert to fraction form
    54,181.44/81,272.16 = 26,460/x
  3. Step 3: Cross multiply
    54,181.44x = 81,272.16 × 26,460
  4. Step 4: Simplify right side
    54,181.44x = 2,150,461,353.60
  5. Step 5: Solve for x
    x = 2,150,461,353.60/54,181.44
  6. Step 6: Final answer
    x = 39,690

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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.