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Finding the Fourth Proportional to 77,324.91, 116,005.80 and 27,409.37

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Solution

The fourth proportional to 77,324.91, 116,005.80 and 27,409.37 is: 41,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.91 : 116,005.80 = 27,409.37 : x
  2. Step 2: Convert to fraction form
    77,324.91/116,005.80 = 27,409.37/x
  3. Step 3: Cross multiply
    77,324.91x = 116,005.80 × 27,409.37
  4. Step 4: Simplify right side
    77,324.91x = 3,179,645,314.32
  5. Step 5: Solve for x
    x = 3,179,645,314.32/77,324.91
  6. Step 6: Final answer
    x = 41,120.58

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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.