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Finding the Fourth Proportional to 62,842.56, 86,633.49 and 49,983

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Solution

The fourth proportional to 62,842.56, 86,633.49 and 49,983 is: 68,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842.56 : 86,633.49 = 49,983 : x
  2. Step 2: Convert to fraction form
    62,842.56/86,633.49 = 49,983/x
  3. Step 3: Cross multiply
    62,842.56x = 86,633.49 × 49,983
  4. Step 4: Simplify right side
    62,842.56x = 4,330,201,730.67
  5. Step 5: Solve for x
    x = 4,330,201,730.67/62,842.56
  6. Step 6: Final answer
    x = 68,905.56

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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.