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Finding the Fourth Proportional to 84,592.84, 126,863.34 and 22,255.24

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Solution

The fourth proportional to 84,592.84, 126,863.34 and 22,255.24 is: 33,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,592.84 : 126,863.34 = 22,255.24 : x
  2. Step 2: Convert to fraction form
    84,592.84/126,863.34 = 22,255.24/x
  3. Step 3: Cross multiply
    84,592.84x = 126,863.34 × 22,255.24
  4. Step 4: Simplify right side
    84,592.84x = 2,823,374,078.90
  5. Step 5: Solve for x
    x = 2,823,374,078.90/84,592.84
  6. Step 6: Final answer
    x = 33,376.04

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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.