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Finding the Fourth Proportional to 50,438.32, 69,604.32 and 27,774.64

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Solution

The fourth proportional to 50,438.32, 69,604.32 and 27,774.64 is: 38,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438.32 : 69,604.32 = 27,774.64 : x
  2. Step 2: Convert to fraction form
    50,438.32/69,604.32 = 27,774.64/x
  3. Step 3: Cross multiply
    50,438.32x = 69,604.32 × 27,774.64
  4. Step 4: Simplify right side
    50,438.32x = 1,933,234,930.44
  5. Step 5: Solve for x
    x = 1,933,234,930.44/50,438.32
  6. Step 6: Final answer
    x = 38,328.69

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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.