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Finding the Fourth Proportional to 51,249.75, 70,724.67 and 28,893.75

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Solution

The fourth proportional to 51,249.75, 70,724.67 and 28,893.75 is: 39,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,249.75 : 70,724.67 = 28,893.75 : x
  2. Step 2: Convert to fraction form
    51,249.75/70,724.67 = 28,893.75/x
  3. Step 3: Cross multiply
    51,249.75x = 70,724.67 × 28,893.75
  4. Step 4: Simplify right side
    51,249.75x = 2,043,500,933.81
  5. Step 5: Solve for x
    x = 2,043,500,933.81/51,249.75
  6. Step 6: Final answer
    x = 39,873.38

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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.