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Finding the Fourth Proportional to 54,954.06, 82,431.06 and 19,885.50

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Solution

The fourth proportional to 54,954.06, 82,431.06 and 19,885.50 is: 29,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,954.06 : 82,431.06 = 19,885.50 : x
  2. Step 2: Convert to fraction form
    54,954.06/82,431.06 = 19,885.50/x
  3. Step 3: Cross multiply
    54,954.06x = 82,431.06 × 19,885.50
  4. Step 4: Simplify right side
    54,954.06x = 1,639,182,843.63
  5. Step 5: Solve for x
    x = 1,639,182,843.63/54,954.06
  6. Step 6: Final answer
    x = 29,828.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.