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Finding the Fourth Proportional to 54,109.82, 74,671.92 and 30,237.50

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Solution

The fourth proportional to 54,109.82, 74,671.92 and 30,237.50 is: 41,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,109.82 : 74,671.92 = 30,237.50 : x
  2. Step 2: Convert to fraction form
    54,109.82/74,671.92 = 30,237.50/x
  3. Step 3: Cross multiply
    54,109.82x = 74,671.92 × 30,237.50
  4. Step 4: Simplify right side
    54,109.82x = 2,257,892,181
  5. Step 5: Solve for x
    x = 2,257,892,181/54,109.82
  6. Step 6: Final answer
    x = 41,727.96

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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.