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Finding the Fourth Proportional to 73,958.56, 102,062.64 and 40,424.80

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Solution

The fourth proportional to 73,958.56, 102,062.64 and 40,424.80 is: 55,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,958.56 : 102,062.64 = 40,424.80 : x
  2. Step 2: Convert to fraction form
    73,958.56/102,062.64 = 40,424.80/x
  3. Step 3: Cross multiply
    73,958.56x = 102,062.64 × 40,424.80
  4. Step 4: Simplify right side
    73,958.56x = 4,125,861,809.47
  5. Step 5: Solve for x
    x = 4,125,861,809.47/73,958.56
  6. Step 6: Final answer
    x = 55,786.13

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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.