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Finding the Fourth Proportional to 27,735, 41,602.50 and 9,267

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Solution

The fourth proportional to 27,735, 41,602.50 and 9,267 is: 13,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735 : 41,602.50 = 9,267 : x
  2. Step 2: Convert to fraction form
    27,735/41,602.50 = 9,267/x
  3. Step 3: Cross multiply
    27,735x = 41,602.50 × 9,267
  4. Step 4: Simplify right side
    27,735x = 385,530,367.50
  5. Step 5: Solve for x
    x = 385,530,367.50/27,735
  6. Step 6: Final answer
    x = 13,900.50

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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.