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Finding the Fourth Proportional to 36,508.50, 54,762.75 and 8,806.50

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Solution

The fourth proportional to 36,508.50, 54,762.75 and 8,806.50 is: 13,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,508.50 : 54,762.75 = 8,806.50 : x
  2. Step 2: Convert to fraction form
    36,508.50/54,762.75 = 8,806.50/x
  3. Step 3: Cross multiply
    36,508.50x = 54,762.75 × 8,806.50
  4. Step 4: Simplify right side
    36,508.50x = 482,268,157.88
  5. Step 5: Solve for x
    x = 482,268,157.88/36,508.50
  6. Step 6: Final answer
    x = 13,209.75

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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.