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Finding the Fourth Proportional to 53,728.32, 80,198.04 and 49,769.82

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Solution

The fourth proportional to 53,728.32, 80,198.04 and 49,769.82 is: 74,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728.32 : 80,198.04 = 49,769.82 : x
  2. Step 2: Convert to fraction form
    53,728.32/80,198.04 = 49,769.82/x
  3. Step 3: Cross multiply
    53,728.32x = 80,198.04 × 49,769.82
  4. Step 4: Simplify right side
    53,728.32x = 3,991,442,015.15
  5. Step 5: Solve for x
    x = 3,991,442,015.15/53,728.32
  6. Step 6: Final answer
    x = 74,289.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.