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Finding the Fourth Proportional to 102,772.68, 154,162.14 and 27,892.56

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Solution

The fourth proportional to 102,772.68, 154,162.14 and 27,892.56 is: 41,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,772.68 : 154,162.14 = 27,892.56 : x
  2. Step 2: Convert to fraction form
    102,772.68/154,162.14 = 27,892.56/x
  3. Step 3: Cross multiply
    102,772.68x = 154,162.14 × 27,892.56
  4. Step 4: Simplify right side
    102,772.68x = 4,299,976,739.68
  5. Step 5: Solve for x
    x = 4,299,976,739.68/102,772.68
  6. Step 6: Final answer
    x = 41,839.69

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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.