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Finding the Fourth Proportional to 47,728.85, 65,850.99 and 27,578.38

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Solution

The fourth proportional to 47,728.85, 65,850.99 and 27,578.38 is: 38,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,728.85 : 65,850.99 = 27,578.38 : x
  2. Step 2: Convert to fraction form
    47,728.85/65,850.99 = 27,578.38/x
  3. Step 3: Cross multiply
    47,728.85x = 65,850.99 × 27,578.38
  4. Step 4: Simplify right side
    47,728.85x = 1,816,063,543.55
  5. Step 5: Solve for x
    x = 1,816,063,543.55/47,728.85
  6. Step 6: Final answer
    x = 38,049.60

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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.