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Finding the Fourth Proportional to 27,630.54, 41,446.35 and 6,853.50

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Solution

The fourth proportional to 27,630.54, 41,446.35 and 6,853.50 is: 10,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,630.54 : 41,446.35 = 6,853.50 : x
  2. Step 2: Convert to fraction form
    27,630.54/41,446.35 = 6,853.50/x
  3. Step 3: Cross multiply
    27,630.54x = 41,446.35 × 6,853.50
  4. Step 4: Simplify right side
    27,630.54x = 284,052,559.73
  5. Step 5: Solve for x
    x = 284,052,559.73/27,630.54
  6. Step 6: Final answer
    x = 10,280.38

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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.