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Finding the Fourth Proportional to 82,960.20, 114,491.88 and 47,161.44

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Solution

The fourth proportional to 82,960.20, 114,491.88 and 47,161.44 is: 65,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,960.20 : 114,491.88 = 47,161.44 : x
  2. Step 2: Convert to fraction form
    82,960.20/114,491.88 = 47,161.44/x
  3. Step 3: Cross multiply
    82,960.20x = 114,491.88 × 47,161.44
  4. Step 4: Simplify right side
    82,960.20x = 5,399,601,929.11
  5. Step 5: Solve for x
    x = 5,399,601,929.11/82,960.20
  6. Step 6: Final answer
    x = 65,086.66

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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.