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Finding the Fourth Proportional to 49,172.31, 67,857.62 and 27,951.57

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Solution

The fourth proportional to 49,172.31, 67,857.62 and 27,951.57 is: 38,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,172.31 : 67,857.62 = 27,951.57 : x
  2. Step 2: Convert to fraction form
    49,172.31/67,857.62 = 27,951.57/x
  3. Step 3: Cross multiply
    49,172.31x = 67,857.62 × 27,951.57
  4. Step 4: Simplify right side
    49,172.31x = 1,896,726,875.71
  5. Step 5: Solve for x
    x = 1,896,726,875.71/49,172.31
  6. Step 6: Final answer
    x = 38,573.07

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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.