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Finding the Fourth Proportional to 77,375.86, 116,059.01 and 27,449.38

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Solution

The fourth proportional to 77,375.86, 116,059.01 and 27,449.38 is: 41,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,375.86 : 116,059.01 = 27,449.38 : x
  2. Step 2: Convert to fraction form
    77,375.86/116,059.01 = 27,449.38/x
  3. Step 3: Cross multiply
    77,375.86x = 116,059.01 × 27,449.38
  4. Step 4: Simplify right side
    77,375.86x = 3,185,747,150.37
  5. Step 5: Solve for x
    x = 3,185,747,150.37/77,375.86
  6. Step 6: Final answer
    x = 41,172.37

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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.