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Finding the Fourth Proportional to 61,049, 91,989.50 and 50,198.76

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Solution

The fourth proportional to 61,049, 91,989.50 and 50,198.76 is: 75,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,049 : 91,989.50 = 50,198.76 : x
  2. Step 2: Convert to fraction form
    61,049/91,989.50 = 50,198.76/x
  3. Step 3: Cross multiply
    61,049x = 91,989.50 × 50,198.76
  4. Step 4: Simplify right side
    61,049x = 4,617,758,833.02
  5. Step 5: Solve for x
    x = 4,617,758,833.02/61,049
  6. Step 6: Final answer
    x = 75,640.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.