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Finding the Fourth Proportional to 41,992, 57,948.98 and 23,129.14

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Solution

The fourth proportional to 41,992, 57,948.98 and 23,129.14 is: 31,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,992 : 57,948.98 = 23,129.14 : x
  2. Step 2: Convert to fraction form
    41,992/57,948.98 = 23,129.14/x
  3. Step 3: Cross multiply
    41,992x = 57,948.98 × 23,129.14
  4. Step 4: Simplify right side
    41,992x = 1,340,310,071.28
  5. Step 5: Solve for x
    x = 1,340,310,071.28/41,992
  6. Step 6: Final answer
    x = 31,918.22

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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.