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Finding the Fourth Proportional to 49,076.82, 67,728.72 and 28,945.50

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Solution

The fourth proportional to 49,076.82, 67,728.72 and 28,945.50 is: 39,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076.82 : 67,728.72 = 28,945.50 : x
  2. Step 2: Convert to fraction form
    49,076.82/67,728.72 = 28,945.50/x
  3. Step 3: Cross multiply
    49,076.82x = 67,728.72 × 28,945.50
  4. Step 4: Simplify right side
    49,076.82x = 1,960,441,664.76
  5. Step 5: Solve for x
    x = 1,960,441,664.76/49,076.82
  6. Step 6: Final answer
    x = 39,946.39

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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.