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Finding the Fourth Proportional to 72,993.52, 100,731.06 and 41,162.38

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Solution

The fourth proportional to 72,993.52, 100,731.06 and 41,162.38 is: 56,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,993.52 : 100,731.06 = 41,162.38 : x
  2. Step 2: Convert to fraction form
    72,993.52/100,731.06 = 41,162.38/x
  3. Step 3: Cross multiply
    72,993.52x = 100,731.06 × 41,162.38
  4. Step 4: Simplify right side
    72,993.52x = 4,146,330,169.52
  5. Step 5: Solve for x
    x = 4,146,330,169.52/72,993.52
  6. Step 6: Final answer
    x = 56,804.09

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Why These Related Problems?

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