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Finding the Fourth Proportional to 27,225.46, 40,812.27 and 8,744.50

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Solution

The fourth proportional to 27,225.46, 40,812.27 and 8,744.50 is: 13,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.46 : 40,812.27 = 8,744.50 : x
  2. Step 2: Convert to fraction form
    27,225.46/40,812.27 = 8,744.50/x
  3. Step 3: Cross multiply
    27,225.46x = 40,812.27 × 8,744.50
  4. Step 4: Simplify right side
    27,225.46x = 356,882,895.02
  5. Step 5: Solve for x
    x = 356,882,895.02/27,225.46
  6. Step 6: Final answer
    x = 13,108.42

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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.