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Finding the Fourth Proportional to 81,462.16, 122,193.36 and 22,295.44

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Solution

The fourth proportional to 81,462.16, 122,193.36 and 22,295.44 is: 33,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,462.16 : 122,193.36 = 22,295.44 : x
  2. Step 2: Convert to fraction form
    81,462.16/122,193.36 = 22,295.44/x
  3. Step 3: Cross multiply
    81,462.16x = 122,193.36 × 22,295.44
  4. Step 4: Simplify right side
    81,462.16x = 2,724,354,726.28
  5. Step 5: Solve for x
    x = 2,724,354,726.28/81,462.16
  6. Step 6: Final answer
    x = 33,443.19

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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.