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Finding the Fourth Proportional to 50,575.69, 69,794.65 and 27,914.88

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Solution

The fourth proportional to 50,575.69, 69,794.65 and 27,914.88 is: 38,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,575.69 : 69,794.65 = 27,914.88 : x
  2. Step 2: Convert to fraction form
    50,575.69/69,794.65 = 27,914.88/x
  3. Step 3: Cross multiply
    50,575.69x = 69,794.65 × 27,914.88
  4. Step 4: Simplify right side
    50,575.69x = 1,948,309,000.21
  5. Step 5: Solve for x
    x = 1,948,309,000.21/50,575.69
  6. Step 6: Final answer
    x = 38,522.64

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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.