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Finding the Fourth Proportional to 54,285.30, 74,913.64 and 30,412.14

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Solution

The fourth proportional to 54,285.30, 74,913.64 and 30,412.14 is: 41,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,285.30 : 74,913.64 = 30,412.14 : x
  2. Step 2: Convert to fraction form
    54,285.30/74,913.64 = 30,412.14/x
  3. Step 3: Cross multiply
    54,285.30x = 74,913.64 × 30,412.14
  4. Step 4: Simplify right side
    54,285.30x = 2,278,284,107.59
  5. Step 5: Solve for x
    x = 2,278,284,107.59/54,285.30
  6. Step 6: Final answer
    x = 41,968.71

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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.