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Finding the Fourth Proportional to 81,530.52, 122,295.96 and 22,367.04

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Solution

The fourth proportional to 81,530.52, 122,295.96 and 22,367.04 is: 33,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,530.52 : 122,295.96 = 22,367.04 : x
  2. Step 2: Convert to fraction form
    81,530.52/122,295.96 = 22,367.04/x
  3. Step 3: Cross multiply
    81,530.52x = 122,295.96 × 22,367.04
  4. Step 4: Simplify right side
    81,530.52x = 2,735,398,629.16
  5. Step 5: Solve for x
    x = 2,735,398,629.16/81,530.52
  6. Step 6: Final answer
    x = 33,550.61

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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.