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Finding the Fourth Proportional to 49,094.92, 67,751.78 and 27,874.76

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Solution

The fourth proportional to 49,094.92, 67,751.78 and 27,874.76 is: 38,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,094.92 : 67,751.78 = 27,874.76 : x
  2. Step 2: Convert to fraction form
    49,094.92/67,751.78 = 27,874.76/x
  3. Step 3: Cross multiply
    49,094.92x = 67,751.78 × 27,874.76
  4. Step 4: Simplify right side
    49,094.92x = 1,888,564,607.07
  5. Step 5: Solve for x
    x = 1,888,564,607.07/49,094.92
  6. Step 6: Final answer
    x = 38,467.62

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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.