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Finding the Fourth Proportional to 38,293.25, 52,846.28 and 21,297.42

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Solution

The fourth proportional to 38,293.25, 52,846.28 and 21,297.42 is: 29,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293.25 : 52,846.28 = 21,297.42 : x
  2. Step 2: Convert to fraction form
    38,293.25/52,846.28 = 21,297.42/x
  3. Step 3: Cross multiply
    38,293.25x = 52,846.28 × 21,297.42
  4. Step 4: Simplify right side
    38,293.25x = 1,125,489,314.11
  5. Step 5: Solve for x
    x = 1,125,489,314.11/38,293.25
  6. Step 6: Final answer
    x = 29,391.33

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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.