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Finding the Fourth Proportional to 71,264.56, 106,902.94 and 18,674.04

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Solution

The fourth proportional to 71,264.56, 106,902.94 and 18,674.04 is: 28,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264.56 : 106,902.94 = 18,674.04 : x
  2. Step 2: Convert to fraction form
    71,264.56/106,902.94 = 18,674.04/x
  3. Step 3: Cross multiply
    71,264.56x = 106,902.94 × 18,674.04
  4. Step 4: Simplify right side
    71,264.56x = 1,996,309,777.68
  5. Step 5: Solve for x
    x = 1,996,309,777.68/71,264.56
  6. Step 6: Final answer
    x = 28,012.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.