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Finding the Fourth Proportional to 30,240.80, 41,733 and 16,811.54

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Solution

The fourth proportional to 30,240.80, 41,733 and 16,811.54 is: 23,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240.80 : 41,733 = 16,811.54 : x
  2. Step 2: Convert to fraction form
    30,240.80/41,733 = 16,811.54/x
  3. Step 3: Cross multiply
    30,240.80x = 41,733 × 16,811.54
  4. Step 4: Simplify right side
    30,240.80x = 701,595,998.82
  5. Step 5: Solve for x
    x = 701,595,998.82/30,240.80
  6. Step 6: Final answer
    x = 23,200.31

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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.