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Finding the Fourth Proportional to 54,191.38, 81,285.50 and 16,746

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Solution

The fourth proportional to 54,191.38, 81,285.50 and 16,746 is: 25,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,191.38 : 81,285.50 = 16,746 : x
  2. Step 2: Convert to fraction form
    54,191.38/81,285.50 = 16,746/x
  3. Step 3: Cross multiply
    54,191.38x = 81,285.50 × 16,746
  4. Step 4: Simplify right side
    54,191.38x = 1,361,206,983
  5. Step 5: Solve for x
    x = 1,361,206,983/54,191.38
  6. Step 6: Final answer
    x = 25,118.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.