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Finding the Fourth Proportional to 54,158.69, 74,741.03 and 30,285.31

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Solution

The fourth proportional to 54,158.69, 74,741.03 and 30,285.31 is: 41,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,158.69 : 74,741.03 = 30,285.31 : x
  2. Step 2: Convert to fraction form
    54,158.69/74,741.03 = 30,285.31/x
  3. Step 3: Cross multiply
    54,158.69x = 74,741.03 × 30,285.31
  4. Step 4: Simplify right side
    54,158.69x = 2,263,555,178.70
  5. Step 5: Solve for x
    x = 2,263,555,178.70/54,158.69
  6. Step 6: Final answer
    x = 41,794.86

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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.