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Finding the Fourth Proportional to 38,420.38, 53,013.31 and 21,423.27

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Solution

The fourth proportional to 38,420.38, 53,013.31 and 21,423.27 is: 29,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.38 : 53,013.31 = 21,423.27 : x
  2. Step 2: Convert to fraction form
    38,420.38/53,013.31 = 21,423.27/x
  3. Step 3: Cross multiply
    38,420.38x = 53,013.31 × 21,423.27
  4. Step 4: Simplify right side
    38,420.38x = 1,135,718,453.72
  5. Step 5: Solve for x
    x = 1,135,718,453.72/38,420.38
  6. Step 6: Final answer
    x = 29,560.31

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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.