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Finding the Fourth Proportional to 60,107, 82,951.50 and 33,611

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Solution

The fourth proportional to 60,107, 82,951.50 and 33,611 is: 46,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,107 : 82,951.50 = 33,611 : x
  2. Step 2: Convert to fraction form
    60,107/82,951.50 = 33,611/x
  3. Step 3: Cross multiply
    60,107x = 82,951.50 × 33,611
  4. Step 4: Simplify right side
    60,107x = 2,788,082,866.50
  5. Step 5: Solve for x
    x = 2,788,082,866.50/60,107
  6. Step 6: Final answer
    x = 46,385.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.