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Finding the Fourth Proportional to 54,992.50, 82,499.74 and 21,728.22

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Solution

The fourth proportional to 54,992.50, 82,499.74 and 21,728.22 is: 32,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992.50 : 82,499.74 = 21,728.22 : x
  2. Step 2: Convert to fraction form
    54,992.50/82,499.74 = 21,728.22/x
  3. Step 3: Cross multiply
    54,992.50x = 82,499.74 × 21,728.22
  4. Step 4: Simplify right side
    54,992.50x = 1,792,572,500.66
  5. Step 5: Solve for x
    x = 1,792,572,500.66/54,992.50
  6. Step 6: Final answer
    x = 32,596.67

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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.