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Finding the Fourth Proportional to 77,442.75, 116,095.28 and 27,516.24

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Solution

The fourth proportional to 77,442.75, 116,095.28 and 27,516.24 is: 41,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442.75 : 116,095.28 = 27,516.24 : x
  2. Step 2: Convert to fraction form
    77,442.75/116,095.28 = 27,516.24/x
  3. Step 3: Cross multiply
    77,442.75x = 116,095.28 × 27,516.24
  4. Step 4: Simplify right side
    77,442.75x = 3,194,505,449.77
  5. Step 5: Solve for x
    x = 3,194,505,449.77/77,442.75
  6. Step 6: Final answer
    x = 41,249.90

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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.