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Finding the Fourth Proportional to 38,331.63, 52,885.71 and 22,414.32

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Solution

The fourth proportional to 38,331.63, 52,885.71 and 22,414.32 is: 30,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,331.63 : 52,885.71 = 22,414.32 : x
  2. Step 2: Convert to fraction form
    38,331.63/52,885.71 = 22,414.32/x
  3. Step 3: Cross multiply
    38,331.63x = 52,885.71 × 22,414.32
  4. Step 4: Simplify right side
    38,331.63x = 1,185,397,227.37
  5. Step 5: Solve for x
    x = 1,185,397,227.37/38,331.63
  6. Step 6: Final answer
    x = 30,924.78

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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.