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Finding the Fourth Proportional to 41,465.34, 57,222.18 and 24,469.61

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Solution

The fourth proportional to 41,465.34, 57,222.18 and 24,469.61 is: 33,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,465.34 : 57,222.18 = 24,469.61 : x
  2. Step 2: Convert to fraction form
    41,465.34/57,222.18 = 24,469.61/x
  3. Step 3: Cross multiply
    41,465.34x = 57,222.18 × 24,469.61
  4. Step 4: Simplify right side
    41,465.34x = 1,400,204,141.84
  5. Step 5: Solve for x
    x = 1,400,204,141.84/41,465.34
  6. Step 6: Final answer
    x = 33,768.06

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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.