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Finding the Fourth Proportional to 82,523.73, 113,879.46 and 46,721.17

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Solution

The fourth proportional to 82,523.73, 113,879.46 and 46,721.17 is: 64,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.73 : 113,879.46 = 46,721.17 : x
  2. Step 2: Convert to fraction form
    82,523.73/113,879.46 = 46,721.17/x
  3. Step 3: Cross multiply
    82,523.73x = 113,879.46 × 46,721.17
  4. Step 4: Simplify right side
    82,523.73x = 5,320,581,610.17
  5. Step 5: Solve for x
    x = 5,320,581,610.17/82,523.73
  6. Step 6: Final answer
    x = 64,473.35

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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.