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Finding the Fourth Proportional to 38,548.56, 53,197.10 and 21,553.41

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Solution

The fourth proportional to 38,548.56, 53,197.10 and 21,553.41 is: 29,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548.56 : 53,197.10 = 21,553.41 : x
  2. Step 2: Convert to fraction form
    38,548.56/53,197.10 = 21,553.41/x
  3. Step 3: Cross multiply
    38,548.56x = 53,197.10 × 21,553.41
  4. Step 4: Simplify right side
    38,548.56x = 1,146,578,907.11
  5. Step 5: Solve for x
    x = 1,146,578,907.11/38,548.56
  6. Step 6: Final answer
    x = 29,743.75

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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.