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Finding the Fourth Proportional to 41,665, 57,498.24 and 22,801.72

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Solution

The fourth proportional to 41,665, 57,498.24 and 22,801.72 is: 31,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,665 : 57,498.24 = 22,801.72 : x
  2. Step 2: Convert to fraction form
    41,665/57,498.24 = 22,801.72/x
  3. Step 3: Cross multiply
    41,665x = 57,498.24 × 22,801.72
  4. Step 4: Simplify right side
    41,665x = 1,311,058,768.97
  5. Step 5: Solve for x
    x = 1,311,058,768.97/41,665
  6. Step 6: Final answer
    x = 31,466.67

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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.