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Finding the Fourth Proportional to 54,234, 81,352.44 and 17,298

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Solution

The fourth proportional to 54,234, 81,352.44 and 17,298 is: 25,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234 : 81,352.44 = 17,298 : x
  2. Step 2: Convert to fraction form
    54,234/81,352.44 = 17,298/x
  3. Step 3: Cross multiply
    54,234x = 81,352.44 × 17,298
  4. Step 4: Simplify right side
    54,234x = 1,407,234,507.12
  5. Step 5: Solve for x
    x = 1,407,234,507.12/54,234
  6. Step 6: Final answer
    x = 25,947.46

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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.