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Finding the Fourth Proportional to 41,177.54, 56,825 and 22,314.67

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Solution

The fourth proportional to 41,177.54, 56,825 and 22,314.67 is: 30,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,177.54 : 56,825 = 22,314.67 : x
  2. Step 2: Convert to fraction form
    41,177.54/56,825 = 22,314.67/x
  3. Step 3: Cross multiply
    41,177.54x = 56,825 × 22,314.67
  4. Step 4: Simplify right side
    41,177.54x = 1,268,031,122.75
  5. Step 5: Solve for x
    x = 1,268,031,122.75/41,177.54
  6. Step 6: Final answer
    x = 30,794.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.