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Finding the Fourth Proportional to 31,638.36, 43,641.60 and 20,304

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Solution

The fourth proportional to 31,638.36, 43,641.60 and 20,304 is: 28,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638.36 : 43,641.60 = 20,304 : x
  2. Step 2: Convert to fraction form
    31,638.36/43,641.60 = 20,304/x
  3. Step 3: Cross multiply
    31,638.36x = 43,641.60 × 20,304
  4. Step 4: Simplify right side
    31,638.36x = 886,099,046.40
  5. Step 5: Solve for x
    x = 886,099,046.40/31,638.36
  6. Step 6: Final answer
    x = 28,007.11

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