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Finding the Fourth Proportional to 84,853.14, 127,295.32 and 27,930.24

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Solution

The fourth proportional to 84,853.14, 127,295.32 and 27,930.24 is: 41,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,853.14 : 127,295.32 = 27,930.24 : x
  2. Step 2: Convert to fraction form
    84,853.14/127,295.32 = 27,930.24/x
  3. Step 3: Cross multiply
    84,853.14x = 127,295.32 × 27,930.24
  4. Step 4: Simplify right side
    84,853.14x = 3,555,388,838.48
  5. Step 5: Solve for x
    x = 3,555,388,838.48/84,853.14
  6. Step 6: Final answer
    x = 41,900.50

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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.