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Finding the Fourth Proportional to 82,857.20, 114,338.99 and 47,042.44

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Solution

The fourth proportional to 82,857.20, 114,338.99 and 47,042.44 is: 64,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857.20 : 114,338.99 = 47,042.44 : x
  2. Step 2: Convert to fraction form
    82,857.20/114,338.99 = 47,042.44/x
  3. Step 3: Cross multiply
    82,857.20x = 114,338.99 × 47,042.44
  4. Step 4: Simplify right side
    82,857.20x = 5,378,784,908.49
  5. Step 5: Solve for x
    x = 5,378,784,908.49/82,857.20
  6. Step 6: Final answer
    x = 64,916.33

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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.