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Finding the Fourth Proportional to 82,050.62, 123,034.92 and 37,639.50

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Solution

The fourth proportional to 82,050.62, 123,034.92 and 37,639.50 is: 56,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,050.62 : 123,034.92 = 37,639.50 : x
  2. Step 2: Convert to fraction form
    82,050.62/123,034.92 = 37,639.50/x
  3. Step 3: Cross multiply
    82,050.62x = 123,034.92 × 37,639.50
  4. Step 4: Simplify right side
    82,050.62x = 4,630,972,871.34
  5. Step 5: Solve for x
    x = 4,630,972,871.34/82,050.62
  6. Step 6: Final answer
    x = 56,440.44

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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.