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Finding the Fourth Proportional to 38,936.40, 53,733.72 and 21,947.40

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Solution

The fourth proportional to 38,936.40, 53,733.72 and 21,947.40 is: 30,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,936.40 : 53,733.72 = 21,947.40 : x
  2. Step 2: Convert to fraction form
    38,936.40/53,733.72 = 21,947.40/x
  3. Step 3: Cross multiply
    38,936.40x = 53,733.72 × 21,947.40
  4. Step 4: Simplify right side
    38,936.40x = 1,179,315,446.33
  5. Step 5: Solve for x
    x = 1,179,315,446.33/38,936.40
  6. Step 6: Final answer
    x = 30,288.25

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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.