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Finding the Fourth Proportional to 49,882.67, 68,838.48 and 27,221.84

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Solution

The fourth proportional to 49,882.67, 68,838.48 and 27,221.84 is: 37,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882.67 : 68,838.48 = 27,221.84 : x
  2. Step 2: Convert to fraction form
    49,882.67/68,838.48 = 27,221.84/x
  3. Step 3: Cross multiply
    49,882.67x = 68,838.48 × 27,221.84
  4. Step 4: Simplify right side
    49,882.67x = 1,873,909,744.21
  5. Step 5: Solve for x
    x = 1,873,909,744.21/49,882.67
  6. Step 6: Final answer
    x = 37,566.35

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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.