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Finding the Fourth Proportional to 74,393.29, 102,662.31 and 40,401.46

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Solution

The fourth proportional to 74,393.29, 102,662.31 and 40,401.46 is: 55,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,393.29 : 102,662.31 = 40,401.46 : x
  2. Step 2: Convert to fraction form
    74,393.29/102,662.31 = 40,401.46/x
  3. Step 3: Cross multiply
    74,393.29x = 102,662.31 × 40,401.46
  4. Step 4: Simplify right side
    74,393.29x = 4,147,707,210.97
  5. Step 5: Solve for x
    x = 4,147,707,210.97/74,393.29
  6. Step 6: Final answer
    x = 55,753.78

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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.