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Finding the Fourth Proportional to 49,021, 73,414.50 and 28,200.76

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Solution

The fourth proportional to 49,021, 73,414.50 and 28,200.76 is: 42,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,021 : 73,414.50 = 28,200.76 : x
  2. Step 2: Convert to fraction form
    49,021/73,414.50 = 28,200.76/x
  3. Step 3: Cross multiply
    49,021x = 73,414.50 × 28,200.76
  4. Step 4: Simplify right side
    49,021x = 2,070,344,695.02
  5. Step 5: Solve for x
    x = 2,070,344,695.02/49,021
  6. Step 6: Final answer
    x = 42,233.83

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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.