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Finding the Fourth Proportional to 84,523.68, 126,792.72 and 22,194

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Solution

The fourth proportional to 84,523.68, 126,792.72 and 22,194 is: 33,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,523.68 : 126,792.72 = 22,194 : x
  2. Step 2: Convert to fraction form
    84,523.68/126,792.72 = 22,194/x
  3. Step 3: Cross multiply
    84,523.68x = 126,792.72 × 22,194
  4. Step 4: Simplify right side
    84,523.68x = 2,814,037,627.68
  5. Step 5: Solve for x
    x = 2,814,037,627.68/84,523.68
  6. Step 6: Final answer
    x = 33,292.89

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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.