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Finding the Fourth Proportional to 33,059, 49,588.50 and 8,435

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Solution

The fourth proportional to 33,059, 49,588.50 and 8,435 is: 12,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059 : 49,588.50 = 8,435 : x
  2. Step 2: Convert to fraction form
    33,059/49,588.50 = 8,435/x
  3. Step 3: Cross multiply
    33,059x = 49,588.50 × 8,435
  4. Step 4: Simplify right side
    33,059x = 418,278,997.50
  5. Step 5: Solve for x
    x = 418,278,997.50/33,059
  6. Step 6: Final answer
    x = 12,652.50

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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.