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Finding the Fourth Proportional to 41,820.33, 57,710.77 and 22,699.20

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Solution

The fourth proportional to 41,820.33, 57,710.77 and 22,699.20 is: 31,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,820.33 : 57,710.77 = 22,699.20 : x
  2. Step 2: Convert to fraction form
    41,820.33/57,710.77 = 22,699.20/x
  3. Step 3: Cross multiply
    41,820.33x = 57,710.77 × 22,699.20
  4. Step 4: Simplify right side
    41,820.33x = 1,309,988,310.38
  5. Step 5: Solve for x
    x = 1,309,988,310.38/41,820.33
  6. Step 6: Final answer
    x = 31,324.20

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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.