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Finding the Fourth Proportional to 73,744.50, 101,768.13 and 40,211.22

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Solution

The fourth proportional to 73,744.50, 101,768.13 and 40,211.22 is: 55,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,744.50 : 101,768.13 = 40,211.22 : x
  2. Step 2: Convert to fraction form
    73,744.50/101,768.13 = 40,211.22/x
  3. Step 3: Cross multiply
    73,744.50x = 101,768.13 × 40,211.22
  4. Step 4: Simplify right side
    73,744.50x = 4,092,220,664.42
  5. Step 5: Solve for x
    x = 4,092,220,664.42/73,744.50
  6. Step 6: Final answer
    x = 55,491.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.