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Finding the Fourth Proportional to 51,226.50, 70,687.38 and 28,563.34

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Solution

The fourth proportional to 51,226.50, 70,687.38 and 28,563.34 is: 39,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,226.50 : 70,687.38 = 28,563.34 : x
  2. Step 2: Convert to fraction form
    51,226.50/70,687.38 = 28,563.34/x
  3. Step 3: Cross multiply
    51,226.50x = 70,687.38 × 28,563.34
  4. Step 4: Simplify right side
    51,226.50x = 2,019,067,668.65
  5. Step 5: Solve for x
    x = 2,019,067,668.65/51,226.50
  6. Step 6: Final answer
    x = 39,414.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.