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Finding the Fourth Proportional to 54,492.84, 81,739.54 and 16,542.44

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Solution

The fourth proportional to 54,492.84, 81,739.54 and 16,542.44 is: 24,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,492.84 : 81,739.54 = 16,542.44 : x
  2. Step 2: Convert to fraction form
    54,492.84/81,739.54 = 16,542.44/x
  3. Step 3: Cross multiply
    54,492.84x = 81,739.54 × 16,542.44
  4. Step 4: Simplify right side
    54,492.84x = 1,352,171,436.08
  5. Step 5: Solve for x
    x = 1,352,171,436.08/54,492.84
  6. Step 6: Final answer
    x = 24,813.74

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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.