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Finding the Fourth Proportional to 49,802.34, 68,725.22 and 27,140.84

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Solution

The fourth proportional to 49,802.34, 68,725.22 and 27,140.84 is: 37,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,802.34 : 68,725.22 = 27,140.84 : x
  2. Step 2: Convert to fraction form
    49,802.34/68,725.22 = 27,140.84/x
  3. Step 3: Cross multiply
    49,802.34x = 68,725.22 × 27,140.84
  4. Step 4: Simplify right side
    49,802.34x = 1,865,260,439.65
  5. Step 5: Solve for x
    x = 1,865,260,439.65/49,802.34
  6. Step 6: Final answer
    x = 37,453.27

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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.