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Finding the Fourth Proportional to 54,122.70, 81,169.65 and 16,682.70

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Solution

The fourth proportional to 54,122.70, 81,169.65 and 16,682.70 is: 25,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,122.70 : 81,169.65 = 16,682.70 : x
  2. Step 2: Convert to fraction form
    54,122.70/81,169.65 = 16,682.70/x
  3. Step 3: Cross multiply
    54,122.70x = 81,169.65 × 16,682.70
  4. Step 4: Simplify right side
    54,122.70x = 1,354,128,920.06
  5. Step 5: Solve for x
    x = 1,354,128,920.06/54,122.70
  6. Step 6: Final answer
    x = 25,019.61

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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.