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Finding the Fourth Proportional to 84,892.82, 127,339.09 and 22,563.32

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Solution

The fourth proportional to 84,892.82, 127,339.09 and 22,563.32 is: 33,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,892.82 : 127,339.09 = 22,563.32 : x
  2. Step 2: Convert to fraction form
    84,892.82/127,339.09 = 22,563.32/x
  3. Step 3: Cross multiply
    84,892.82x = 127,339.09 × 22,563.32
  4. Step 4: Simplify right side
    84,892.82x = 2,873,191,943.08
  5. Step 5: Solve for x
    x = 2,873,191,943.08/84,892.82
  6. Step 6: Final answer
    x = 33,844.94

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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.