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Finding the Fourth Proportional to 82,234, 123,370.50 and 26,830

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Solution

The fourth proportional to 82,234, 123,370.50 and 26,830 is: 40,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,234 : 123,370.50 = 26,830 : x
  2. Step 2: Convert to fraction form
    82,234/123,370.50 = 26,830/x
  3. Step 3: Cross multiply
    82,234x = 123,370.50 × 26,830
  4. Step 4: Simplify right side
    82,234x = 3,310,030,515
  5. Step 5: Solve for x
    x = 3,310,030,515/82,234
  6. Step 6: Final answer
    x = 40,251.36

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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.