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Finding the Fourth Proportional to 38,111.28, 52,571.76 and 22,194

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Solution

The fourth proportional to 38,111.28, 52,571.76 and 22,194 is: 30,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,111.28 : 52,571.76 = 22,194 : x
  2. Step 2: Convert to fraction form
    38,111.28/52,571.76 = 22,194/x
  3. Step 3: Cross multiply
    38,111.28x = 52,571.76 × 22,194
  4. Step 4: Simplify right side
    38,111.28x = 1,166,777,641.44
  5. Step 5: Solve for x
    x = 1,166,777,641.44/38,111.28
  6. Step 6: Final answer
    x = 30,615.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.