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Finding the Fourth Proportional to 49,143.41, 67,820.27 and 27,639.89

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Solution

The fourth proportional to 49,143.41, 67,820.27 and 27,639.89 is: 38,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143.41 : 67,820.27 = 27,639.89 : x
  2. Step 2: Convert to fraction form
    49,143.41/67,820.27 = 27,639.89/x
  3. Step 3: Cross multiply
    49,143.41x = 67,820.27 × 27,639.89
  4. Step 4: Simplify right side
    49,143.41x = 1,874,544,802.57
  5. Step 5: Solve for x
    x = 1,874,544,802.57/49,143.41
  6. Step 6: Final answer
    x = 38,144.38

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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.