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Finding the Fourth Proportional to 36,850.78, 55,276.17 and 13,464.46

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Solution

The fourth proportional to 36,850.78, 55,276.17 and 13,464.46 is: 20,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,850.78 : 55,276.17 = 13,464.46 : x
  2. Step 2: Convert to fraction form
    36,850.78/55,276.17 = 13,464.46/x
  3. Step 3: Cross multiply
    36,850.78x = 55,276.17 × 13,464.46
  4. Step 4: Simplify right side
    36,850.78x = 744,263,779.92
  5. Step 5: Solve for x
    x = 744,263,779.92/36,850.78
  6. Step 6: Final answer
    x = 20,196.69

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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.