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Finding the Fourth Proportional to 38,938, 53,734.44 and 21,274

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Solution

The fourth proportional to 38,938, 53,734.44 and 21,274 is: 29,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,938 : 53,734.44 = 21,274 : x
  2. Step 2: Convert to fraction form
    38,938/53,734.44 = 21,274/x
  3. Step 3: Cross multiply
    38,938x = 53,734.44 × 21,274
  4. Step 4: Simplify right side
    38,938x = 1,143,146,476.56
  5. Step 5: Solve for x
    x = 1,143,146,476.56/38,938
  6. Step 6: Final answer
    x = 29,358.12

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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.