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Finding the Fourth Proportional to 89,491.50, 134,238.06 and 27,162

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Solution

The fourth proportional to 89,491.50, 134,238.06 and 27,162 is: 40,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,491.50 : 134,238.06 = 27,162 : x
  2. Step 2: Convert to fraction form
    89,491.50/134,238.06 = 27,162/x
  3. Step 3: Cross multiply
    89,491.50x = 134,238.06 × 27,162
  4. Step 4: Simplify right side
    89,491.50x = 3,646,174,185.72
  5. Step 5: Solve for x
    x = 3,646,174,185.72/89,491.50
  6. Step 6: Final answer
    x = 40,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.