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Finding the Fourth Proportional to 36,549.50, 54,824.52 and 8,847.50

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Solution

The fourth proportional to 36,549.50, 54,824.52 and 8,847.50 is: 13,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,549.50 : 54,824.52 = 8,847.50 : x
  2. Step 2: Convert to fraction form
    36,549.50/54,824.52 = 8,847.50/x
  3. Step 3: Cross multiply
    36,549.50x = 54,824.52 × 8,847.50
  4. Step 4: Simplify right side
    36,549.50x = 485,059,940.70
  5. Step 5: Solve for x
    x = 485,059,940.70/36,549.50
  6. Step 6: Final answer
    x = 13,271.32

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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.