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Finding the Fourth Proportional to 96,950.72, 133,791.18 and 54,509.42

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Solution

The fourth proportional to 96,950.72, 133,791.18 and 54,509.42 is: 75,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,950.72 : 133,791.18 = 54,509.42 : x
  2. Step 2: Convert to fraction form
    96,950.72/133,791.18 = 54,509.42/x
  3. Step 3: Cross multiply
    96,950.72x = 133,791.18 × 54,509.42
  4. Step 4: Simplify right side
    96,950.72x = 7,292,879,622.92
  5. Step 5: Solve for x
    x = 7,292,879,622.92/96,950.72
  6. Step 6: Final answer
    x = 75,222.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.