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Finding the Fourth Proportional to 48,964.12, 67,570.32 and 27,747.44

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Solution

The fourth proportional to 48,964.12, 67,570.32 and 27,747.44 is: 38,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,964.12 : 67,570.32 = 27,747.44 : x
  2. Step 2: Convert to fraction form
    48,964.12/67,570.32 = 27,747.44/x
  3. Step 3: Cross multiply
    48,964.12x = 67,570.32 × 27,747.44
  4. Step 4: Simplify right side
    48,964.12x = 1,874,903,399.98
  5. Step 5: Solve for x
    x = 1,874,903,399.98/48,964.12
  6. Step 6: Final answer
    x = 38,291.37

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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.