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Finding the Fourth Proportional to 45,150.66, 67,741.94 and 20,188.50

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Solution

The fourth proportional to 45,150.66, 67,741.94 and 20,188.50 is: 30,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,150.66 : 67,741.94 = 20,188.50 : x
  2. Step 2: Convert to fraction form
    45,150.66/67,741.94 = 20,188.50/x
  3. Step 3: Cross multiply
    45,150.66x = 67,741.94 × 20,188.50
  4. Step 4: Simplify right side
    45,150.66x = 1,367,608,155.69
  5. Step 5: Solve for x
    x = 1,367,608,155.69/45,150.66
  6. Step 6: Final answer
    x = 30,289.88

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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.