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Finding the Fourth Proportional to 54,269.52, 81,415.95 and 16,828.82

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Solution

The fourth proportional to 54,269.52, 81,415.95 and 16,828.82 is: 25,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,269.52 : 81,415.95 = 16,828.82 : x
  2. Step 2: Convert to fraction form
    54,269.52/81,415.95 = 16,828.82/x
  3. Step 3: Cross multiply
    54,269.52x = 81,415.95 × 16,828.82
  4. Step 4: Simplify right side
    54,269.52x = 1,370,134,367.68
  5. Step 5: Solve for x
    x = 1,370,134,367.68/54,269.52
  6. Step 6: Final answer
    x = 25,246.85

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Why These Related Problems?

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