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Finding the Fourth Proportional to 27,586.16, 38,033.32 and 20,043.44

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Solution

The fourth proportional to 27,586.16, 38,033.32 and 20,043.44 is: 27,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.16 : 38,033.32 = 20,043.44 : x
  2. Step 2: Convert to fraction form
    27,586.16/38,033.32 = 20,043.44/x
  3. Step 3: Cross multiply
    27,586.16x = 38,033.32 × 20,043.44
  4. Step 4: Simplify right side
    27,586.16x = 762,318,567.42
  5. Step 5: Solve for x
    x = 762,318,567.42/27,586.16
  6. Step 6: Final answer
    x = 27,634.10

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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.