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Finding the Fourth Proportional to 50,337.50, 69,464.34 and 27,676.53

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Solution

The fourth proportional to 50,337.50, 69,464.34 and 27,676.53 is: 38,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337.50 : 69,464.34 = 27,676.53 : x
  2. Step 2: Convert to fraction form
    50,337.50/69,464.34 = 27,676.53/x
  3. Step 3: Cross multiply
    50,337.50x = 69,464.34 × 27,676.53
  4. Step 4: Simplify right side
    50,337.50x = 1,922,531,889.94
  5. Step 5: Solve for x
    x = 1,922,531,889.94/50,337.50
  6. Step 6: Final answer
    x = 38,192.84

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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.