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Finding the Fourth Proportional to 27,807.60, 41,662.08 and 23,100

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Solution

The fourth proportional to 27,807.60, 41,662.08 and 23,100 is: 34,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.60 : 41,662.08 = 23,100 : x
  2. Step 2: Convert to fraction form
    27,807.60/41,662.08 = 23,100/x
  3. Step 3: Cross multiply
    27,807.60x = 41,662.08 × 23,100
  4. Step 4: Simplify right side
    27,807.60x = 962,394,048
  5. Step 5: Solve for x
    x = 962,394,048/27,807.60
  6. Step 6: Final answer
    x = 34,609.03

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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.