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Finding the Fourth Proportional to 41,982, 57,935.16 and 23,119.08

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Solution

The fourth proportional to 41,982, 57,935.16 and 23,119.08 is: 31,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,982 : 57,935.16 = 23,119.08 : x
  2. Step 2: Convert to fraction form
    41,982/57,935.16 = 23,119.08/x
  3. Step 3: Cross multiply
    41,982x = 57,935.16 × 23,119.08
  4. Step 4: Simplify right side
    41,982x = 1,339,407,598.85
  5. Step 5: Solve for x
    x = 1,339,407,598.85/41,982
  6. Step 6: Final answer
    x = 31,904.33

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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.