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Finding the Fourth Proportional to 41,172, 56,811.42 and 23,022.96

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Solution

The fourth proportional to 41,172, 56,811.42 and 23,022.96 is: 31,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,172 : 56,811.42 = 23,022.96 : x
  2. Step 2: Convert to fraction form
    41,172/56,811.42 = 23,022.96/x
  3. Step 3: Cross multiply
    41,172x = 56,811.42 × 23,022.96
  4. Step 4: Simplify right side
    41,172x = 1,307,967,050.20
  5. Step 5: Solve for x
    x = 1,307,967,050.20/41,172
  6. Step 6: Final answer
    x = 31,768.36

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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.