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Finding the Fourth Proportional to 30,832.41, 42,550.97 and 17,404.82

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Solution

The fourth proportional to 30,832.41, 42,550.97 and 17,404.82 is: 24,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.41 : 42,550.97 = 17,404.82 : x
  2. Step 2: Convert to fraction form
    30,832.41/42,550.97 = 17,404.82/x
  3. Step 3: Cross multiply
    30,832.41x = 42,550.97 × 17,404.82
  4. Step 4: Simplify right side
    30,832.41x = 740,591,673.90
  5. Step 5: Solve for x
    x = 740,591,673.90/30,832.41
  6. Step 6: Final answer
    x = 24,019.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.