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Finding the Fourth Proportional to 38,971, 53,780 and 22,204

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Solution

The fourth proportional to 38,971, 53,780 and 22,204 is: 30,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971 : 53,780 = 22,204 : x
  2. Step 2: Convert to fraction form
    38,971/53,780 = 22,204/x
  3. Step 3: Cross multiply
    38,971x = 53,780 × 22,204
  4. Step 4: Simplify right side
    38,971x = 1,194,131,120
  5. Step 5: Solve for x
    x = 1,194,131,120/38,971
  6. Step 6: Final answer
    x = 30,641.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.