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Finding the Fourth Proportional to 49,382.76, 68,149.00 and 27,873.62

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Solution

The fourth proportional to 49,382.76, 68,149.00 and 27,873.62 is: 38,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382.76 : 68,149.00 = 27,873.62 : x
  2. Step 2: Convert to fraction form
    49,382.76/68,149.00 = 27,873.62/x
  3. Step 3: Cross multiply
    49,382.76x = 68,149.00 × 27,873.62
  4. Step 4: Simplify right side
    49,382.76x = 1,899,559,122.25
  5. Step 5: Solve for x
    x = 1,899,559,122.25/49,382.76
  6. Step 6: Final answer
    x = 38,466.04

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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.