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Finding the Fourth Proportional to 38,283.44, 52,832.45 and 22,367.54

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Solution

The fourth proportional to 38,283.44, 52,832.45 and 22,367.54 is: 30,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.44 : 52,832.45 = 22,367.54 : x
  2. Step 2: Convert to fraction form
    38,283.44/52,832.45 = 22,367.54/x
  3. Step 3: Cross multiply
    38,283.44x = 52,832.45 × 22,367.54
  4. Step 4: Simplify right side
    38,283.44x = 1,181,732,126.67
  5. Step 5: Solve for x
    x = 1,181,732,126.67/38,283.44
  6. Step 6: Final answer
    x = 30,867.98

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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.