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Finding the Fourth Proportional to 36,798.85, 55,198.31 and 13,419.82

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Solution

The fourth proportional to 36,798.85, 55,198.31 and 13,419.82 is: 20,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798.85 : 55,198.31 = 13,419.82 : x
  2. Step 2: Convert to fraction form
    36,798.85/55,198.31 = 13,419.82/x
  3. Step 3: Cross multiply
    36,798.85x = 55,198.31 × 13,419.82
  4. Step 4: Simplify right side
    36,798.85x = 740,751,384.50
  5. Step 5: Solve for x
    x = 740,751,384.50/36,798.85
  6. Step 6: Final answer
    x = 20,129.74

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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.