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Finding the Fourth Proportional to 82,012.38, 113,177.43 and 46,202.82

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Solution

The fourth proportional to 82,012.38, 113,177.43 and 46,202.82 is: 63,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012.38 : 113,177.43 = 46,202.82 : x
  2. Step 2: Convert to fraction form
    82,012.38/113,177.43 = 46,202.82/x
  3. Step 3: Cross multiply
    82,012.38x = 113,177.43 × 46,202.82
  4. Step 4: Simplify right side
    82,012.38x = 5,229,116,426.35
  5. Step 5: Solve for x
    x = 5,229,116,426.35/82,012.38
  6. Step 6: Final answer
    x = 63,760.09

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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.