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Finding the Fourth Proportional to 30,584.40, 45,876.60 and 20,120.55

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Solution

The fourth proportional to 30,584.40, 45,876.60 and 20,120.55 is: 30,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.40 : 45,876.60 = 20,120.55 : x
  2. Step 2: Convert to fraction form
    30,584.40/45,876.60 = 20,120.55/x
  3. Step 3: Cross multiply
    30,584.40x = 45,876.60 × 20,120.55
  4. Step 4: Simplify right side
    30,584.40x = 923,062,424.13
  5. Step 5: Solve for x
    x = 923,062,424.13/30,584.40
  6. Step 6: Final answer
    x = 30,180.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.