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Finding the Fourth Proportional to 38,001, 52,441.38 and 21,234

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Solution

The fourth proportional to 38,001, 52,441.38 and 21,234 is: 29,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,001 : 52,441.38 = 21,234 : x
  2. Step 2: Convert to fraction form
    38,001/52,441.38 = 21,234/x
  3. Step 3: Cross multiply
    38,001x = 52,441.38 × 21,234
  4. Step 4: Simplify right side
    38,001x = 1,113,540,262.92
  5. Step 5: Solve for x
    x = 1,113,540,262.92/38,001
  6. Step 6: Final answer
    x = 29,302.92

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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.