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Finding the Fourth Proportional to 40,146.97, 55,391.50 and 23,149.87

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Solution

The fourth proportional to 40,146.97, 55,391.50 and 23,149.87 is: 31,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,146.97 : 55,391.50 = 23,149.87 : x
  2. Step 2: Convert to fraction form
    40,146.97/55,391.50 = 23,149.87/x
  3. Step 3: Cross multiply
    40,146.97x = 55,391.50 × 23,149.87
  4. Step 4: Simplify right side
    40,146.97x = 1,282,306,024.11
  5. Step 5: Solve for x
    x = 1,282,306,024.11/40,146.97
  6. Step 6: Final answer
    x = 31,940.29

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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.