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Finding the Fourth Proportional to 97,843.86, 146,727.50 and 34,639.56

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Solution

The fourth proportional to 97,843.86, 146,727.50 and 34,639.56 is: 51,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.86 : 146,727.50 = 34,639.56 : x
  2. Step 2: Convert to fraction form
    97,843.86/146,727.50 = 34,639.56/x
  3. Step 3: Cross multiply
    97,843.86x = 146,727.50 × 34,639.56
  4. Step 4: Simplify right side
    97,843.86x = 5,082,575,866.70
  5. Step 5: Solve for x
    x = 5,082,575,866.70/97,843.86
  6. Step 6: Final answer
    x = 51,945.78

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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.