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Finding the Fourth Proportional to 27,175.20, 40,762.80 and 24,550.80

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Solution

The fourth proportional to 27,175.20, 40,762.80 and 24,550.80 is: 36,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.20 : 40,762.80 = 24,550.80 : x
  2. Step 2: Convert to fraction form
    27,175.20/40,762.80 = 24,550.80/x
  3. Step 3: Cross multiply
    27,175.20x = 40,762.80 × 24,550.80
  4. Step 4: Simplify right side
    27,175.20x = 1,000,759,350.24
  5. Step 5: Solve for x
    x = 1,000,759,350.24/27,175.20
  6. Step 6: Final answer
    x = 36,826.20

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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.