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Finding the Fourth Proportional to 66,497, 99,745.50 and 33,665

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Solution

The fourth proportional to 66,497, 99,745.50 and 33,665 is: 50,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,497 : 99,745.50 = 33,665 : x
  2. Step 2: Convert to fraction form
    66,497/99,745.50 = 33,665/x
  3. Step 3: Cross multiply
    66,497x = 99,745.50 × 33,665
  4. Step 4: Simplify right side
    66,497x = 3,357,932,257.50
  5. Step 5: Solve for x
    x = 3,357,932,257.50/66,497
  6. Step 6: Final answer
    x = 50,497.50

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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.