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Finding the Fourth Proportional to 50,505.84, 69,698.54 and 27,845.64

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Solution

The fourth proportional to 50,505.84, 69,698.54 and 27,845.64 is: 38,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,505.84 : 69,698.54 = 27,845.64 : x
  2. Step 2: Convert to fraction form
    50,505.84/69,698.54 = 27,845.64/x
  3. Step 3: Cross multiply
    50,505.84x = 69,698.54 × 27,845.64
  4. Step 4: Simplify right side
    50,505.84x = 1,940,800,522.98
  5. Step 5: Solve for x
    x = 1,940,800,522.98/50,505.84
  6. Step 6: Final answer
    x = 38,427.25

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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.