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Finding the Fourth Proportional to 82,049.62, 123,033.42 and 37,638.50

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Solution

The fourth proportional to 82,049.62, 123,033.42 and 37,638.50 is: 56,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.62 : 123,033.42 = 37,638.50 : x
  2. Step 2: Convert to fraction form
    82,049.62/123,033.42 = 37,638.50/x
  3. Step 3: Cross multiply
    82,049.62x = 123,033.42 × 37,638.50
  4. Step 4: Simplify right side
    82,049.62x = 4,630,793,378.67
  5. Step 5: Solve for x
    x = 4,630,793,378.67/82,049.62
  6. Step 6: Final answer
    x = 56,438.94

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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.