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Finding the Fourth Proportional to 82,647.74, 123,922.34 and 32,735

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Solution

The fourth proportional to 82,647.74, 123,922.34 and 32,735 is: 49,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,647.74 : 123,922.34 = 32,735 : x
  2. Step 2: Convert to fraction form
    82,647.74/123,922.34 = 32,735/x
  3. Step 3: Cross multiply
    82,647.74x = 123,922.34 × 32,735
  4. Step 4: Simplify right side
    82,647.74x = 4,056,597,636.23
  5. Step 5: Solve for x
    x = 4,056,597,636.23/82,647.74
  6. Step 6: Final answer
    x = 49,082.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.