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Finding the Fourth Proportional to 54,283.50, 74,924.19 and 31,940.46

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Solution

The fourth proportional to 54,283.50, 74,924.19 and 31,940.46 is: 44,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,283.50 : 74,924.19 = 31,940.46 : x
  2. Step 2: Convert to fraction form
    54,283.50/74,924.19 = 31,940.46/x
  3. Step 3: Cross multiply
    54,283.50x = 74,924.19 × 31,940.46
  4. Step 4: Simplify right side
    54,283.50x = 2,393,113,093.73
  5. Step 5: Solve for x
    x = 2,393,113,093.73/54,283.50
  6. Step 6: Final answer
    x = 44,085.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.