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Finding the Fourth Proportional to 29,383.86, 40,561.29 and 19,829.41

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Solution

The fourth proportional to 29,383.86, 40,561.29 and 19,829.41 is: 27,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,383.86 : 40,561.29 = 19,829.41 : x
  2. Step 2: Convert to fraction form
    29,383.86/40,561.29 = 19,829.41/x
  3. Step 3: Cross multiply
    29,383.86x = 40,561.29 × 19,829.41
  4. Step 4: Simplify right side
    29,383.86x = 804,306,348.14
  5. Step 5: Solve for x
    x = 804,306,348.14/29,383.86
  6. Step 6: Final answer
    x = 27,372.38

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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.