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Finding the Fourth Proportional to 54,294.44, 74,929.32 and 30,428.80

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Solution

The fourth proportional to 54,294.44, 74,929.32 and 30,428.80 is: 41,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,294.44 : 74,929.32 = 30,428.80 : x
  2. Step 2: Convert to fraction form
    54,294.44/74,929.32 = 30,428.80/x
  3. Step 3: Cross multiply
    54,294.44x = 74,929.32 × 30,428.80
  4. Step 4: Simplify right side
    54,294.44x = 2,280,009,105.09
  5. Step 5: Solve for x
    x = 2,280,009,105.09/54,294.44
  6. Step 6: Final answer
    x = 41,993.42

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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.