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Finding the Fourth Proportional to 55,706.74, 83,573.94 and 27,639.97

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Solution

The fourth proportional to 55,706.74, 83,573.94 and 27,639.97 is: 41,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.74 : 83,573.94 = 27,639.97 : x
  2. Step 2: Convert to fraction form
    55,706.74/83,573.94 = 27,639.97/x
  3. Step 3: Cross multiply
    55,706.74x = 83,573.94 × 27,639.97
  4. Step 4: Simplify right side
    55,706.74x = 2,309,981,194.38
  5. Step 5: Solve for x
    x = 2,309,981,194.38/55,706.74
  6. Step 6: Final answer
    x = 41,466.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.