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Finding the Fourth Proportional to 27,164.72, 37,489.92 and 15,230

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Solution

The fourth proportional to 27,164.72, 37,489.92 and 15,230 is: 21,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.72 : 37,489.92 = 15,230 : x
  2. Step 2: Convert to fraction form
    27,164.72/37,489.92 = 15,230/x
  3. Step 3: Cross multiply
    27,164.72x = 37,489.92 × 15,230
  4. Step 4: Simplify right side
    27,164.72x = 570,971,481.60
  5. Step 5: Solve for x
    x = 570,971,481.60/27,164.72
  6. Step 6: Final answer
    x = 21,018.86

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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.