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Finding the Fourth Proportional to 77,817.68, 116,745 and 25,227.20

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Solution

The fourth proportional to 77,817.68, 116,745 and 25,227.20 is: 37,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,817.68 : 116,745 = 25,227.20 : x
  2. Step 2: Convert to fraction form
    77,817.68/116,745 = 25,227.20/x
  3. Step 3: Cross multiply
    77,817.68x = 116,745 × 25,227.20
  4. Step 4: Simplify right side
    77,817.68x = 2,945,149,464
  5. Step 5: Solve for x
    x = 2,945,149,464/77,817.68
  6. Step 6: Final answer
    x = 37,846.79

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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.