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Finding the Fourth Proportional to 54,597.31, 81,896.41 and 17,156.54

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Solution

The fourth proportional to 54,597.31, 81,896.41 and 17,156.54 is: 25,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,597.31 : 81,896.41 = 17,156.54 : x
  2. Step 2: Convert to fraction form
    54,597.31/81,896.41 = 17,156.54/x
  3. Step 3: Cross multiply
    54,597.31x = 81,896.41 × 17,156.54
  4. Step 4: Simplify right side
    54,597.31x = 1,405,059,260.21
  5. Step 5: Solve for x
    x = 1,405,059,260.21/54,597.31
  6. Step 6: Final answer
    x = 25,734.96

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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.