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Finding the Fourth Proportional to 27,732.45, 38,270.90 and 15,157.20

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Solution

The fourth proportional to 27,732.45, 38,270.90 and 15,157.20 is: 20,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.45 : 38,270.90 = 15,157.20 : x
  2. Step 2: Convert to fraction form
    27,732.45/38,270.90 = 15,157.20/x
  3. Step 3: Cross multiply
    27,732.45x = 38,270.90 × 15,157.20
  4. Step 4: Simplify right side
    27,732.45x = 580,079,685.48
  5. Step 5: Solve for x
    x = 580,079,685.48/27,732.45
  6. Step 6: Final answer
    x = 20,917.00

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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.