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Finding the Fourth Proportional to 74,107.24, 102,267.78 and 40,573

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Solution

The fourth proportional to 74,107.24, 102,267.78 and 40,573 is: 55,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,107.24 : 102,267.78 = 40,573 : x
  2. Step 2: Convert to fraction form
    74,107.24/102,267.78 = 40,573/x
  3. Step 3: Cross multiply
    74,107.24x = 102,267.78 × 40,573
  4. Step 4: Simplify right side
    74,107.24x = 4,149,310,637.94
  5. Step 5: Solve for x
    x = 4,149,310,637.94/74,107.24
  6. Step 6: Final answer
    x = 55,990.62

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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.