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Finding the Fourth Proportional to 27,638.09, 38,101.92 and 23,372.02

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Solution

The fourth proportional to 27,638.09, 38,101.92 and 23,372.02 is: 32,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.09 : 38,101.92 = 23,372.02 : x
  2. Step 2: Convert to fraction form
    27,638.09/38,101.92 = 23,372.02/x
  3. Step 3: Cross multiply
    27,638.09x = 38,101.92 × 23,372.02
  4. Step 4: Simplify right side
    27,638.09x = 890,518,754.83
  5. Step 5: Solve for x
    x = 890,518,754.83/27,638.09
  6. Step 6: Final answer
    x = 32,220.71

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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.