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Finding the Fourth Proportional to 49,957.50, 68,946.39 and 27,601.50

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Solution

The fourth proportional to 49,957.50, 68,946.39 and 27,601.50 is: 38,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,957.50 : 68,946.39 = 27,601.50 : x
  2. Step 2: Convert to fraction form
    49,957.50/68,946.39 = 27,601.50/x
  3. Step 3: Cross multiply
    49,957.50x = 68,946.39 × 27,601.50
  4. Step 4: Simplify right side
    49,957.50x = 1,903,023,783.59
  5. Step 5: Solve for x
    x = 1,903,023,783.59/49,957.50
  6. Step 6: Final answer
    x = 38,092.85

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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.