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Finding the Fourth Proportional to 27,842.31, 41,747.07 and 11,188.31

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Solution

The fourth proportional to 27,842.31, 41,747.07 and 11,188.31 is: 16,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.31 : 41,747.07 = 11,188.31 : x
  2. Step 2: Convert to fraction form
    27,842.31/41,747.07 = 11,188.31/x
  3. Step 3: Cross multiply
    27,842.31x = 41,747.07 × 11,188.31
  4. Step 4: Simplify right side
    27,842.31x = 467,078,952.02
  5. Step 5: Solve for x
    x = 467,078,952.02/27,842.31
  6. Step 6: Final answer
    x = 16,775.87

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1.5x scale

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.