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Finding the Fourth Proportional to 38,383.32, 52,972.82 and 22,466.84

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Solution

The fourth proportional to 38,383.32, 52,972.82 and 22,466.84 is: 31,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,383.32 : 52,972.82 = 22,466.84 : x
  2. Step 2: Convert to fraction form
    38,383.32/52,972.82 = 22,466.84/x
  3. Step 3: Cross multiply
    38,383.32x = 52,972.82 × 22,466.84
  4. Step 4: Simplify right side
    38,383.32x = 1,190,131,871.29
  5. Step 5: Solve for x
    x = 1,190,131,871.29/38,383.32
  6. Step 6: Final answer
    x = 31,006.49

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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.