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Finding the Fourth Proportional to 49,543, 74,324.22 and 21,841

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Solution

The fourth proportional to 49,543, 74,324.22 and 21,841 is: 32,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,543 : 74,324.22 = 21,841 : x
  2. Step 2: Convert to fraction form
    49,543/74,324.22 = 21,841/x
  3. Step 3: Cross multiply
    49,543x = 74,324.22 × 21,841
  4. Step 4: Simplify right side
    49,543x = 1,623,315,289.02
  5. Step 5: Solve for x
    x = 1,623,315,289.02/49,543
  6. Step 6: Final answer
    x = 32,765.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.