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Finding the Fourth Proportional to 54,106.58, 74,668.74 and 30,234.26

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Solution

The fourth proportional to 54,106.58, 74,668.74 and 30,234.26 is: 41,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,106.58 : 74,668.74 = 30,234.26 : x
  2. Step 2: Convert to fraction form
    54,106.58/74,668.74 = 30,234.26/x
  3. Step 3: Cross multiply
    54,106.58x = 74,668.74 × 30,234.26
  4. Step 4: Simplify right side
    54,106.58x = 2,257,554,172.33
  5. Step 5: Solve for x
    x = 2,257,554,172.33/54,106.58
  6. Step 6: Final answer
    x = 41,724.21

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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.