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Finding the Fourth Proportional to 30,400.88, 41,945.81 and 17,823.20

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Solution

The fourth proportional to 30,400.88, 41,945.81 and 17,823.20 is: 24,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.88 : 41,945.81 = 17,823.20 : x
  2. Step 2: Convert to fraction form
    30,400.88/41,945.81 = 17,823.20/x
  3. Step 3: Cross multiply
    30,400.88x = 41,945.81 × 17,823.20
  4. Step 4: Simplify right side
    30,400.88x = 747,608,560.79
  5. Step 5: Solve for x
    x = 747,608,560.79/30,400.88
  6. Step 6: Final answer
    x = 24,591.68

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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.