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Finding the Fourth Proportional to 38,540.56, 53,184.84 and 21,544.84

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Solution

The fourth proportional to 38,540.56, 53,184.84 and 21,544.84 is: 29,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.56 : 53,184.84 = 21,544.84 : x
  2. Step 2: Convert to fraction form
    38,540.56/53,184.84 = 21,544.84/x
  3. Step 3: Cross multiply
    38,540.56x = 53,184.84 × 21,544.84
  4. Step 4: Simplify right side
    38,540.56x = 1,145,858,868.23
  5. Step 5: Solve for x
    x = 1,145,858,868.23/38,540.56
  6. Step 6: Final answer
    x = 29,731.25

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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.