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Finding the Fourth Proportional to 51,652.83, 71,286.03 and 31,523.22

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Solution

The fourth proportional to 51,652.83, 71,286.03 and 31,523.22 is: 43,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652.83 : 71,286.03 = 31,523.22 : x
  2. Step 2: Convert to fraction form
    51,652.83/71,286.03 = 31,523.22/x
  3. Step 3: Cross multiply
    51,652.83x = 71,286.03 × 31,523.22
  4. Step 4: Simplify right side
    51,652.83x = 2,247,165,206.62
  5. Step 5: Solve for x
    x = 2,247,165,206.62/51,652.83
  6. Step 6: Final answer
    x = 43,505.17

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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.