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Finding the Fourth Proportional to 82,982.19, 114,495.74 and 47,169.38

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Solution

The fourth proportional to 82,982.19, 114,495.74 and 47,169.38 is: 65,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982.19 : 114,495.74 = 47,169.38 : x
  2. Step 2: Convert to fraction form
    82,982.19/114,495.74 = 47,169.38/x
  3. Step 3: Cross multiply
    82,982.19x = 114,495.74 × 47,169.38
  4. Step 4: Simplify right side
    82,982.19x = 5,400,693,295.72
  5. Step 5: Solve for x
    x = 5,400,693,295.72/82,982.19
  6. Step 6: Final answer
    x = 65,082.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.