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Finding the Fourth Proportional to 38,026.84, 52,481.44 and 22,927.22

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Solution

The fourth proportional to 38,026.84, 52,481.44 and 22,927.22 is: 31,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026.84 : 52,481.44 = 22,927.22 : x
  2. Step 2: Convert to fraction form
    38,026.84/52,481.44 = 22,927.22/x
  3. Step 3: Cross multiply
    38,026.84x = 52,481.44 × 22,927.22
  4. Step 4: Simplify right side
    38,026.84x = 1,203,253,520.80
  5. Step 5: Solve for x
    x = 1,203,253,520.80/38,026.84
  6. Step 6: Final answer
    x = 31,642.22

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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.