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Finding the Fourth Proportional to 45,960.50, 63,450.72 and 27,814.60

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Solution

The fourth proportional to 45,960.50, 63,450.72 and 27,814.60 is: 38,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,960.50 : 63,450.72 = 27,814.60 : x
  2. Step 2: Convert to fraction form
    45,960.50/63,450.72 = 27,814.60/x
  3. Step 3: Cross multiply
    45,960.50x = 63,450.72 × 27,814.60
  4. Step 4: Simplify right side
    45,960.50x = 1,764,856,396.51
  5. Step 5: Solve for x
    x = 1,764,856,396.51/45,960.50
  6. Step 6: Final answer
    x = 38,399.42

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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.