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Finding the Fourth Proportional to 39,573, 54,610.76 and 21,909

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Solution

The fourth proportional to 39,573, 54,610.76 and 21,909 is: 30,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,573 : 54,610.76 = 21,909 : x
  2. Step 2: Convert to fraction form
    39,573/54,610.76 = 21,909/x
  3. Step 3: Cross multiply
    39,573x = 54,610.76 × 21,909
  4. Step 4: Simplify right side
    39,573x = 1,196,467,140.84
  5. Step 5: Solve for x
    x = 1,196,467,140.84/39,573
  6. Step 6: Final answer
    x = 30,234.43

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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.