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Finding the Fourth Proportional to 51,853.80, 77,793.10 and 16,793.48

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Solution

The fourth proportional to 51,853.80, 77,793.10 and 16,793.48 is: 25,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853.80 : 77,793.10 = 16,793.48 : x
  2. Step 2: Convert to fraction form
    51,853.80/77,793.10 = 16,793.48/x
  3. Step 3: Cross multiply
    51,853.80x = 77,793.10 × 16,793.48
  4. Step 4: Simplify right side
    51,853.80x = 1,306,416,868.99
  5. Step 5: Solve for x
    x = 1,306,416,868.99/51,853.80
  6. Step 6: Final answer
    x = 25,194.24

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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.