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Finding the Fourth Proportional to 37,795.92, 52,175.20 and 27,724.24

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Solution

The fourth proportional to 37,795.92, 52,175.20 and 27,724.24 is: 38,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,795.92 : 52,175.20 = 27,724.24 : x
  2. Step 2: Convert to fraction form
    37,795.92/52,175.20 = 27,724.24/x
  3. Step 3: Cross multiply
    37,795.92x = 52,175.20 × 27,724.24
  4. Step 4: Simplify right side
    37,795.92x = 1,446,517,766.85
  5. Step 5: Solve for x
    x = 1,446,517,766.85/37,795.92
  6. Step 6: Final answer
    x = 38,271.80

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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.