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Finding the Fourth Proportional to 54,158.69, 74,739.11 and 30,285.77

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Solution

The fourth proportional to 54,158.69, 74,739.11 and 30,285.77 is: 41,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,158.69 : 74,739.11 = 30,285.77 : x
  2. Step 2: Convert to fraction form
    54,158.69/74,739.11 = 30,285.77/x
  3. Step 3: Cross multiply
    54,158.69x = 74,739.11 × 30,285.77
  4. Step 4: Simplify right side
    54,158.69x = 2,263,530,970.34
  5. Step 5: Solve for x
    x = 2,263,530,970.34/54,158.69
  6. Step 6: Final answer
    x = 41,794.42

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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.