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Finding the Fourth Proportional to 83,976.05, 115,866.82 and 47,669.42

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Solution

The fourth proportional to 83,976.05, 115,866.82 and 47,669.42 is: 65,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,976.05 : 115,866.82 = 47,669.42 : x
  2. Step 2: Convert to fraction form
    83,976.05/115,866.82 = 47,669.42/x
  3. Step 3: Cross multiply
    83,976.05x = 115,866.82 × 47,669.42
  4. Step 4: Simplify right side
    83,976.05x = 5,523,303,288.96
  5. Step 5: Solve for x
    x = 5,523,303,288.96/83,976.05
  6. Step 6: Final answer
    x = 65,772.37

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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.