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Finding the Fourth Proportional to 38,103.88, 52,585.21 and 22,996.27

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Solution

The fourth proportional to 38,103.88, 52,585.21 and 22,996.27 is: 31,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,103.88 : 52,585.21 = 22,996.27 : x
  2. Step 2: Convert to fraction form
    38,103.88/52,585.21 = 22,996.27/x
  3. Step 3: Cross multiply
    38,103.88x = 52,585.21 × 22,996.27
  4. Step 4: Simplify right side
    38,103.88x = 1,209,263,687.17
  5. Step 5: Solve for x
    x = 1,209,263,687.17/38,103.88
  6. Step 6: Final answer
    x = 31,735.97

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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.