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Finding the Fourth Proportional to 30,414.80, 41,129.10 and 30,414.80

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Solution

The fourth proportional to 30,414.80, 41,129.10 and 30,414.80 is: 41,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.80 : 41,129.10 = 30,414.80 : x
  2. Step 2: Convert to fraction form
    30,414.80/41,129.10 = 30,414.80/x
  3. Step 3: Cross multiply
    30,414.80x = 41,129.10 × 30,414.80
  4. Step 4: Simplify right side
    30,414.80x = 1,250,933,350.68
  5. Step 5: Solve for x
    x = 1,250,933,350.68/30,414.80
  6. Step 6: Final answer
    x = 41,129.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.