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Finding the Fourth Proportional to 77,637.69, 116,481.15 and 27,716.72

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Solution

The fourth proportional to 77,637.69, 116,481.15 and 27,716.72 is: 41,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,637.69 : 116,481.15 = 27,716.72 : x
  2. Step 2: Convert to fraction form
    77,637.69/116,481.15 = 27,716.72/x
  3. Step 3: Cross multiply
    77,637.69x = 116,481.15 × 27,716.72
  4. Step 4: Simplify right side
    77,637.69x = 3,228,474,837.42
  5. Step 5: Solve for x
    x = 3,228,474,837.42/77,637.69
  6. Step 6: Final answer
    x = 41,583.86

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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.