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Finding the Fourth Proportional to 54,142.84, 81,055.89 and 31,584.55

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Solution

The fourth proportional to 54,142.84, 81,055.89 and 31,584.55 is: 47,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142.84 : 81,055.89 = 31,584.55 : x
  2. Step 2: Convert to fraction form
    54,142.84/81,055.89 = 31,584.55/x
  3. Step 3: Cross multiply
    54,142.84x = 81,055.89 × 31,584.55
  4. Step 4: Simplify right side
    54,142.84x = 2,560,113,810.50
  5. Step 5: Solve for x
    x = 2,560,113,810.50/54,142.84
  6. Step 6: Final answer
    x = 47,284.44

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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.