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Finding the Fourth Proportional to 54,578, 81,892.92 and 17,642

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Solution

The fourth proportional to 54,578, 81,892.92 and 17,642 is: 26,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578 : 81,892.92 = 17,642 : x
  2. Step 2: Convert to fraction form
    54,578/81,892.92 = 17,642/x
  3. Step 3: Cross multiply
    54,578x = 81,892.92 × 17,642
  4. Step 4: Simplify right side
    54,578x = 1,444,754,894.64
  5. Step 5: Solve for x
    x = 1,444,754,894.64/54,578
  6. Step 6: Final answer
    x = 26,471.38

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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.