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Finding the Fourth Proportional to 51,507.43, 71,074.38 and 28,843.27

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Solution

The fourth proportional to 51,507.43, 71,074.38 and 28,843.27 is: 39,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,507.43 : 71,074.38 = 28,843.27 : x
  2. Step 2: Convert to fraction form
    51,507.43/71,074.38 = 28,843.27/x
  3. Step 3: Cross multiply
    51,507.43x = 71,074.38 × 28,843.27
  4. Step 4: Simplify right side
    51,507.43x = 2,050,017,532.42
  5. Step 5: Solve for x
    x = 2,050,017,532.42/51,507.43
  6. Step 6: Final answer
    x = 39,800.42

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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.