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Finding the Fourth Proportional to 81,468.16, 122,202.28 and 22,304.32

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Solution

The fourth proportional to 81,468.16, 122,202.28 and 22,304.32 is: 33,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,468.16 : 122,202.28 = 22,304.32 : x
  2. Step 2: Convert to fraction form
    81,468.16/122,202.28 = 22,304.32/x
  3. Step 3: Cross multiply
    81,468.16x = 122,202.28 × 22,304.32
  4. Step 4: Simplify right side
    81,468.16x = 2,725,638,757.85
  5. Step 5: Solve for x
    x = 2,725,638,757.85/81,468.16
  6. Step 6: Final answer
    x = 33,456.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.