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Finding the Fourth Proportional to 27,310.50, 40,972.23 and 8,842.50

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Solution

The fourth proportional to 27,310.50, 40,972.23 and 8,842.50 is: 13,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310.50 : 40,972.23 = 8,842.50 : x
  2. Step 2: Convert to fraction form
    27,310.50/40,972.23 = 8,842.50/x
  3. Step 3: Cross multiply
    27,310.50x = 40,972.23 × 8,842.50
  4. Step 4: Simplify right side
    27,310.50x = 362,296,943.78
  5. Step 5: Solve for x
    x = 362,296,943.78/27,310.50
  6. Step 6: Final answer
    x = 13,265.85

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Why These Related Problems?

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