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Finding the Fourth Proportional to 53,911.65, 80,867.49 and 16,469.70

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Solution

The fourth proportional to 53,911.65, 80,867.49 and 16,469.70 is: 24,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,911.65 : 80,867.49 = 16,469.70 : x
  2. Step 2: Convert to fraction form
    53,911.65/80,867.49 = 16,469.70/x
  3. Step 3: Cross multiply
    53,911.65x = 80,867.49 × 16,469.70
  4. Step 4: Simplify right side
    53,911.65x = 1,331,863,300.05
  5. Step 5: Solve for x
    x = 1,331,863,300.05/53,911.65
  6. Step 6: Final answer
    x = 24,704.55

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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.