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Finding the Fourth Proportional to 27,447.84, 41,171.76 and 7,728.48

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Solution

The fourth proportional to 27,447.84, 41,171.76 and 7,728.48 is: 11,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.84 : 41,171.76 = 7,728.48 : x
  2. Step 2: Convert to fraction form
    27,447.84/41,171.76 = 7,728.48/x
  3. Step 3: Cross multiply
    27,447.84x = 41,171.76 × 7,728.48
  4. Step 4: Simplify right side
    27,447.84x = 318,195,123.72
  5. Step 5: Solve for x
    x = 318,195,123.72/27,447.84
  6. Step 6: Final answer
    x = 11,592.72

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Similar ratio
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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.