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Finding the Fourth Proportional to 50,768.11, 70,057.42 and 27,797.32

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Solution

The fourth proportional to 50,768.11, 70,057.42 and 27,797.32 is: 38,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,768.11 : 70,057.42 = 27,797.32 : x
  2. Step 2: Convert to fraction form
    50,768.11/70,057.42 = 27,797.32/x
  3. Step 3: Cross multiply
    50,768.11x = 70,057.42 × 27,797.32
  4. Step 4: Simplify right side
    50,768.11x = 1,947,408,522.11
  5. Step 5: Solve for x
    x = 1,947,408,522.11/50,768.11
  6. Step 6: Final answer
    x = 38,358.89

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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.