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Finding the Fourth Proportional to 93,485, 140,227.50 and 27,821

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Solution

The fourth proportional to 93,485, 140,227.50 and 27,821 is: 41,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,485 : 140,227.50 = 27,821 : x
  2. Step 2: Convert to fraction form
    93,485/140,227.50 = 27,821/x
  3. Step 3: Cross multiply
    93,485x = 140,227.50 × 27,821
  4. Step 4: Simplify right side
    93,485x = 3,901,269,277.50
  5. Step 5: Solve for x
    x = 3,901,269,277.50/93,485
  6. Step 6: Final answer
    x = 41,731.50

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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.