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Finding the Fourth Proportional to 54,952.31, 82,428.25 and 19,883.76

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Solution

The fourth proportional to 54,952.31, 82,428.25 and 19,883.76 is: 29,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.31 : 82,428.25 = 19,883.76 : x
  2. Step 2: Convert to fraction form
    54,952.31/82,428.25 = 19,883.76/x
  3. Step 3: Cross multiply
    54,952.31x = 82,428.25 × 19,883.76
  4. Step 4: Simplify right side
    54,952.31x = 1,638,983,540.22
  5. Step 5: Solve for x
    x = 1,638,983,540.22/54,952.31
  6. Step 6: Final answer
    x = 29,825.56

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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.