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Finding the Fourth Proportional to 27,624.82, 38,122.25 and 15,049.57

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Solution

The fourth proportional to 27,624.82, 38,122.25 and 15,049.57 is: 20,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.82 : 38,122.25 = 15,049.57 : x
  2. Step 2: Convert to fraction form
    27,624.82/38,122.25 = 15,049.57/x
  3. Step 3: Cross multiply
    27,624.82x = 38,122.25 × 15,049.57
  4. Step 4: Simplify right side
    27,624.82x = 573,723,299.38
  5. Step 5: Solve for x
    x = 573,723,299.38/27,624.82
  6. Step 6: Final answer
    x = 20,768.40

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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.