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Finding the Fourth Proportional to 36,477.46, 54,716.19 and 8,775.46

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Solution

The fourth proportional to 36,477.46, 54,716.19 and 8,775.46 is: 13,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,477.46 : 54,716.19 = 8,775.46 : x
  2. Step 2: Convert to fraction form
    36,477.46/54,716.19 = 8,775.46/x
  3. Step 3: Cross multiply
    36,477.46x = 54,716.19 × 8,775.46
  4. Step 4: Simplify right side
    36,477.46x = 480,159,736.70
  5. Step 5: Solve for x
    x = 480,159,736.70/36,477.46
  6. Step 6: Final answer
    x = 13,163.19

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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.