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Finding the Fourth Proportional to 38,575.50, 53,231.67 and 21,576.79

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Solution

The fourth proportional to 38,575.50, 53,231.67 and 21,576.79 is: 29,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,575.50 : 53,231.67 = 21,576.79 : x
  2. Step 2: Convert to fraction form
    38,575.50/53,231.67 = 21,576.79/x
  3. Step 3: Cross multiply
    38,575.50x = 53,231.67 × 21,576.79
  4. Step 4: Simplify right side
    38,575.50x = 1,148,568,564.94
  5. Step 5: Solve for x
    x = 1,148,568,564.94/38,575.50
  6. Step 6: Final answer
    x = 29,774.56

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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.