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Finding the Fourth Proportional to 41,965, 57,911.70 and 23,103.34

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Solution

The fourth proportional to 41,965, 57,911.70 and 23,103.34 is: 31,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,965 : 57,911.70 = 23,103.34 : x
  2. Step 2: Convert to fraction form
    41,965/57,911.70 = 23,103.34/x
  3. Step 3: Cross multiply
    41,965x = 57,911.70 × 23,103.34
  4. Step 4: Simplify right side
    41,965x = 1,337,953,695.08
  5. Step 5: Solve for x
    x = 1,337,953,695.08/41,965
  6. Step 6: Final answer
    x = 31,882.61

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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.