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Finding the Fourth Proportional to 26,735, 40,102.50 and 8,267

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Solution

The fourth proportional to 26,735, 40,102.50 and 8,267 is: 12,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,735 : 40,102.50 = 8,267 : x
  2. Step 2: Convert to fraction form
    26,735/40,102.50 = 8,267/x
  3. Step 3: Cross multiply
    26,735x = 40,102.50 × 8,267
  4. Step 4: Simplify right side
    26,735x = 331,527,367.50
  5. Step 5: Solve for x
    x = 331,527,367.50/26,735
  6. Step 6: Final answer
    x = 12,400.50

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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.