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Finding the Fourth Proportional to 38,443.34, 53,051.82 and 21,676.34

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Solution

The fourth proportional to 38,443.34, 53,051.82 and 21,676.34 is: 29,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443.34 : 53,051.82 = 21,676.34 : x
  2. Step 2: Convert to fraction form
    38,443.34/53,051.82 = 21,676.34/x
  3. Step 3: Cross multiply
    38,443.34x = 53,051.82 × 21,676.34
  4. Step 4: Simplify right side
    38,443.34x = 1,149,969,287.94
  5. Step 5: Solve for x
    x = 1,149,969,287.94/38,443.34
  6. Step 6: Final answer
    x = 29,913.36

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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.