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Finding the Fourth Proportional to 49,096.60, 67,753.76 and 27,876.32

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Solution

The fourth proportional to 49,096.60, 67,753.76 and 27,876.32 is: 38,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,096.60 : 67,753.76 = 27,876.32 : x
  2. Step 2: Convert to fraction form
    49,096.60/67,753.76 = 27,876.32/x
  3. Step 3: Cross multiply
    49,096.60x = 67,753.76 × 27,876.32
  4. Step 4: Simplify right side
    49,096.60x = 1,888,725,016.81
  5. Step 5: Solve for x
    x = 1,888,725,016.81/49,096.60
  6. Step 6: Final answer
    x = 38,469.57

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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.